10-Determine x: a) 6x=2x+16 i) 16x-1=12x+3 b) 2x-5=x+1 j) 3x-2=4x+9 c) 2x+3=x+4 k) 5x-3+x=2x+9 d) 5x+7=4x+10 1) 17x-7x=x+18 e) 4x-10=2x+2 m) x+x-4=17-2x+1 f) 4x-7=8x-2 n) x+2x+3-5x=4x-9 g) 2x+1=4x-7 5x+6x-16=3x+2x- h) 9x+9+3x=15 p) 5x+4=3x-2x+4

Vamos resolver cada uma das equações para determinar o valor de \( x \):<br /><br />a) \( 6x = 2x + 16 \)<br />\[ 6x - 2x = 16 \]<br />\[ 4x = 16 \]<br />\[ x = 4 \]<br /><br />i) \( 16x - 1 = 12x + 3 \)<br />\[ 16x - 12x = 3 + 1 \]<br />\[ 4x = 4 \]<br />\[ x = 1 \]<br /><br />b) \( 2x - 5 = x + 1 \)<br />\[ 2x - x = 1 + 5 \]<br />\[ x = 6 \]<br /><br />j) \( 3x - 2 = 4x + 9 \)<br />\[ 3x - 4x = 9 + 2 \]<br />\[ -x = 11 \]<br />\[ x = -11 \]<br /><br />c) \( 2x + 3 = x + 4 \)<br />\[ 2x - x = 4 - 3 \]<br />\[ x = 1 \]<br /><br />k) \( 5x - 3 + x = 2x + 9 \)<br />\[ 6x - 2x = 9 + 3 \]<br />\[ 4x = 12 \]<br />\[ x = 3 \]<br /><br />d) \( 5x + 7 = 4x + 10 \)<br />\[ 5x - 4x = 10 - 7 \]<br />\[ x = 3 \]<br /><br />1) \( 17x - 7x = x + 18 \)<br />\[ 10x - x = 18 \]<br />\[ 9x = 18 \]<br />\[ x = 2 \]<br /><br />e) \( 4x - 10 = 2x + 2 \)<br />\[ 4x - 2x = 2 + 10 \]<br />\[ 2x = 12 \]<br />\[ x = 6 \]<br /><br />m) \( x + x - 4 = 17 - 2x + 1 \)<br />\[ 2x - 4 = 18 - 2x \]<br />\[ 2x + 2x = 18 + 4 \]<br />\[ 4x = 22 \]<br />\[ x = 5.5 \]<br /><br />f) \( 4x - 7 = 8x - 2 \)<br />\[ 4x - 8x = 2 - 7 \]<br />\[ -4x = -5 \]<br />\[ x = \frac{5}{4} \]<br /><br />n) \( x + 2x + 3 - 5x = 4x - 9 \)<br />\[ -x + 3 = 4x - 9 \]<br />\[ -x - 4x = -9 - 3 \]<br />\[ -5x = -12 \]<br />\[ x = \frac{12}{5} \]<br /><br />g) \( 2x + 1 = 4x - 7 \)<br />\[ 2x - 4x = -7 - 1 \]<br />\[ -2x = -8 \]<br />\[ x = 4 \]<br /><br />h) \( 9x + 9 + 3x = 15 \)<br />\[ 12x + 9 = 15 \]<br />\[ 12x = 6 \]<br />\[ x = \frac{1}{2} \]<br /><br />p) \( 5x + 4 = 3x - 2x + 4 \)<br />\[ 5x + 4 = x + 4 \]<br />\[ 5x - x = 4 - 4 \]<br />\[ 4x = 0 \]<br />\[ x = 0 \]<br /><br />Portanto, os valores de \( x \) para cada equação são:<br />a) \( x = 4 \)<br />i) \( x = 1 \)<br />b) \( x = 6 \)<br />j) \( x = -11 \)<br />c) \( x = 1 \)<br />k) \( x = 3 \)<br />d) \( x = 3 \)<br />1) \( x = 2 \)<br />e) \( x = 6 \)<br />m) \( x = 5.5 \)<br />f) \( x = \frac{5}{4} \)<br />n) \( x = \frac{12}{5} \)<br />g) \( x = 4 \)<br />h) \( x = \frac{1}{2} \)<br />p) \( x = 0 \)