3(2x-18)-4=3x-4(2x-8)

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Solution for 3(2x-18)-4=3x-4(2x-8) equation:


Simplifying
3(2x + -18) + -4 = 3x + -4(2x + -8)

Reorder the terms:
3(-18 + 2x) + -4 = 3x + -4(2x + -8)
(-18 * 3 + 2x * 3) + -4 = 3x + -4(2x + -8)
(-54 + 6x) + -4 = 3x + -4(2x + -8)

Reorder the terms:
-54 + -4 + 6x = 3x + -4(2x + -8)

Combine like terms: -54 + -4 = -58
-58 + 6x = 3x + -4(2x + -8)

Reorder the terms:
-58 + 6x = 3x + -4(-8 + 2x)
-58 + 6x = 3x + (-8 * -4 + 2x * -4)
-58 + 6x = 3x + (32 + -8x)

Reorder the terms:
-58 + 6x = 32 + 3x + -8x

Combine like terms: 3x + -8x = -5x
-58 + 6x = 32 + -5x

Solving
-58 + 6x = 32 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-58 + 6x + 5x = 32 + -5x + 5x

Combine like terms: 6x + 5x = 11x
-58 + 11x = 32 + -5x + 5x

Combine like terms: -5x + 5x = 0
-58 + 11x = 32 + 0
-58 + 11x = 32

Add '58' to each side of the equation.
-58 + 58 + 11x = 32 + 58

Combine like terms: -58 + 58 = 0
0 + 11x = 32 + 58
11x = 32 + 58

Combine like terms: 32 + 58 = 90
11x = 90

Divide each side by '11'.
x = 8.181818182

Simplifying
x = 8.181818182

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