3[2-4(x-7)]=26-8x

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Solution for 3[2-4(x-7)]=26-8x equation: 


Simplifying
3[2 + -4(x + -7)] = 26 + -8x

Reorder the terms:
3[2 + -4(-7 + x)] = 26 + -8x
3[2 + (-7 * -4 + x * -4)] = 26 + -8x
3[2 + (28 + -4x)] = 26 + -8x

Combine like terms: 2 + 28 = 30
3[30 + -4x] = 26 + -8x
[30 * 3 + -4x * 3] = 26 + -8x
[90 + -12x] = 26 + -8x

Solving
90 + -12x = 26 + -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.
90 + -12x + 8x = 26 + -8x + 8x

Combine like terms: -12x + 8x = -4x
90 + -4x = 26 + -8x + 8x

Combine like terms: -8x + 8x = 0
90 + -4x = 26 + 0
90 + -4x = 26

Add '-90' to each side of the equation.
90 + -90 + -4x = 26 + -90

Combine like terms: 90 + -90 = 0
0 + -4x = 26 + -90
-4x = 26 + -90

Combine like terms: 26 + -90 = -64
-4x = -64

Divide each side by '-4'.
x = 16

Simplifying
x = 16

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