4(2x-7)+6=-12-8x+40

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Solution for 4(2x-7)+6=-12-8x+40 equation: 


Simplifying
4(2x + -7) + 6 = -12 + -8x + 40

Reorder the terms:
4(-7 + 2x) + 6 = -12 + -8x + 40
(-7 * 4 + 2x * 4) + 6 = -12 + -8x + 40
(-28 + 8x) + 6 = -12 + -8x + 40

Reorder the terms:
-28 + 6 + 8x = -12 + -8x + 40

Combine like terms: -28 + 6 = -22
-22 + 8x = -12 + -8x + 40

Reorder the terms:
-22 + 8x = -12 + 40 + -8x

Combine like terms: -12 + 40 = 28
-22 + 8x = 28 + -8x

Solving
-22 + 8x = 28 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-22 + 8x + 8x = 28 + -8x + 8x

Combine like terms: 8x + 8x = 16x
-22 + 16x = 28 + -8x + 8x

Combine like terms: -8x + 8x = 0
-22 + 16x = 28 + 0
-22 + 16x = 28

Add '22' to each side of the equation.
-22 + 22 + 16x = 28 + 22

Combine like terms: -22 + 22 = 0
0 + 16x = 28 + 22
16x = 28 + 22

Combine like terms: 28 + 22 = 50
16x = 50

Divide each side by '16'.
x = 3.125

Simplifying
x = 3.125

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