3(2x-4)+8=26-3(x-2)

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Solution for 3(2x-4)+8=26-3(x-2) equation:


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

Reorder the terms:
3(-4 + 2x) + 8 = 26 + -3(x + -2)
(-4 * 3 + 2x * 3) + 8 = 26 + -3(x + -2)
(-12 + 6x) + 8 = 26 + -3(x + -2)

Reorder the terms:
-12 + 8 + 6x = 26 + -3(x + -2)

Combine like terms: -12 + 8 = -4
-4 + 6x = 26 + -3(x + -2)

Reorder the terms:
-4 + 6x = 26 + -3(-2 + x)
-4 + 6x = 26 + (-2 * -3 + x * -3)
-4 + 6x = 26 + (6 + -3x)

Combine like terms: 26 + 6 = 32
-4 + 6x = 32 + -3x

Solving
-4 + 6x = 32 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-4 + 6x + 3x = 32 + -3x + 3x

Combine like terms: 6x + 3x = 9x
-4 + 9x = 32 + -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + 9x = 32 + 0
-4 + 9x = 32

Add '4' to each side of the equation.
-4 + 4 + 9x = 32 + 4

Combine like terms: -4 + 4 = 0
0 + 9x = 32 + 4
9x = 32 + 4

Combine like terms: 32 + 4 = 36
9x = 36

Divide each side by '9'.
x = 4

Simplifying
x = 4

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