Solve 8x+7(2-3x)=-6(2x+5)

$$8 x + 7 ( 2 - 3 x ) = - 6 ( 2 x + 5 )$$

Solve for x

$$x=44$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by 2-3x.

$$8x+14-21x=-6\left(2x+5\right)$$

Combine 8x and -21x to get -13x.

$$-13x+14=-6\left(2x+5\right)$$

Use the distributive property to multiply -6 by 2x+5.

$$-13x+14=-12x-30$$

Add 12x to both sides.

$$-13x+14+12x=-30$$

Combine -13x and 12x to get -x.

$$-x+14=-30$$

Subtract 14 from both sides.

$$-x=-30-14$$

Subtract 14 from -30 to get -44.

$$-x=-44$$

Multiply both sides by -1.

$$x=44$$