Solve 7-[5x+15+3(x-4)]=4(x-2)

$$7 - [ 5 x + 15 + 3 ( x - 4 ) ] = 4 ( x - 2 )$$

Solve for x

$$x=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-4.

$$7-\left(5x+15+3x-12\right)=4\left(x-2\right)$$

Combine 5x and 3x to get 8x.

$$7-\left(8x+15-12\right)=4\left(x-2\right)$$

Subtract 12 from 15 to get 3.

$$7-\left(8x+3\right)=4\left(x-2\right)$$

To find the opposite of 8x+3, find the opposite of each term.

$$7-8x-3=4\left(x-2\right)$$

Subtract 3 from 7 to get 4.

$$4-8x=4\left(x-2\right)$$

Use the distributive property to multiply 4 by x-2.

$$4-8x=4x-8$$

Subtract 4x from both sides.

$$4-8x-4x=-8$$

Combine -8x and -4x to get -12x.

$$4-12x=-8$$

Subtract 4 from both sides.

$$-12x=-8-4$$

Subtract 4 from -8 to get -12.

$$-12x=-12$$

Divide both sides by -12.

$$x=\frac{-12}{-12}$$

Divide -12 by -12 to get 1.

$$x=1$$