Question

Solve each of the following equations and check your answers: $6(1-4x)+7(2+5x)=53$

Answer 1

$6(1-4x)+7(2+5x)=53$

$6-24x+14+35x=53$

$20+11x=53$

$11x=53-20$

$11x=33$

$x=3$

Put $x=3$

$6(1-4(3\left)\right)+7(2+5(3\left)\right)=53$

$6(1-12)+7(2+15)=53$

$6(-11)+7\left(17\right)=53$

$-66+119=53$

$53=53$

Hence verified.