4(2x-5)-6x=12-(2x+4)

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Solution for 4(2x-5)-6x=12-(2x+4) equation:


Simplifying
4(2x + -5) + -6x = 12 + -1(2x + 4)

Reorder the terms:
4(-5 + 2x) + -6x = 12 + -1(2x + 4)
(-5 * 4 + 2x * 4) + -6x = 12 + -1(2x + 4)
(-20 + 8x) + -6x = 12 + -1(2x + 4)

Combine like terms: 8x + -6x = 2x
-20 + 2x = 12 + -1(2x + 4)

Reorder the terms:
-20 + 2x = 12 + -1(4 + 2x)
-20 + 2x = 12 + (4 * -1 + 2x * -1)
-20 + 2x = 12 + (-4 + -2x)

Combine like terms: 12 + -4 = 8
-20 + 2x = 8 + -2x

Solving
-20 + 2x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-20 + 2x + 2x = 8 + -2x + 2x

Combine like terms: 2x + 2x = 4x
-20 + 4x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-20 + 4x = 8 + 0
-20 + 4x = 8

Add '20' to each side of the equation.
-20 + 20 + 4x = 8 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 8 + 20
4x = 8 + 20

Combine like terms: 8 + 20 = 28
4x = 28

Divide each side by '4'.
x = 7

Simplifying
x = 7

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