4(2x-3)=5-(2-7x)

Solution for 4(2x-3)=5-(2-7x) equation:

Simplifying
4(2x + -3) = 5 + -1(2 + -7x)

Reorder the terms:
4(-3 + 2x) = 5 + -1(2 + -7x)
(-3 * 4 + 2x * 4) = 5 + -1(2 + -7x)
(-12 + 8x) = 5 + -1(2 + -7x)
-12 + 8x = 5 + (2 * -1 + -7x * -1)
-12 + 8x = 5 + (-2 + 7x)

Combine like terms: 5 + -2 = 3
-12 + 8x = 3 + 7x

Solving
-12 + 8x = 3 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
-12 + 8x + -7x = 3 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-12 + 1x = 3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-12 + 1x = 3 + 0
-12 + 1x = 3

Add '12' to each side of the equation.
-12 + 12 + 1x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 3 + 12
1x = 3 + 12

Combine like terms: 3 + 12 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15