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

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


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

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

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

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

Reorder the terms:
-58 + 6x = 3x + -4(-8 + 3x)
-58 + 6x = 3x + (-8 * -4 + 3x * -4)
-58 + 6x = 3x + (32 + -12x)

Reorder the terms:
-58 + 6x = 32 + 3x + -12x

Combine like terms: 3x + -12x = -9x
-58 + 6x = 32 + -9x

Solving
-58 + 6x = 32 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-58 + 6x + 9x = 32 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-58 + 15x = 32 + -9x + 9x

Combine like terms: -9x + 9x = 0
-58 + 15x = 32 + 0
-58 + 15x = 32

Add '58' to each side of the equation.
-58 + 58 + 15x = 32 + 58

Combine like terms: -58 + 58 = 0
0 + 15x = 32 + 58
15x = 32 + 58

Combine like terms: 32 + 58 = 90
15x = 90

Divide each side by '15'.
x = 6

Simplifying
x = 6

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