4(3x-3)=2(2x-10)

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Solution for 4(3x-3)=2(2x-10) equation:


Simplifying
4(3x + -3) = 2(2x + -10)

Reorder the terms:
4(-3 + 3x) = 2(2x + -10)
(-3 * 4 + 3x * 4) = 2(2x + -10)
(-12 + 12x) = 2(2x + -10)

Reorder the terms:
-12 + 12x = 2(-10 + 2x)
-12 + 12x = (-10 * 2 + 2x * 2)
-12 + 12x = (-20 + 4x)

Solving
-12 + 12x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 12x + -4x = -20 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-12 + 8x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 8x = -20 + 0
-12 + 8x = -20

Add '12' to each side of the equation.
-12 + 12 + 8x = -20 + 12

Combine like terms: -12 + 12 = 0
0 + 8x = -20 + 12
8x = -20 + 12

Combine like terms: -20 + 12 = -8
8x = -8

Divide each side by '8'.
x = -1

Simplifying
x = -1

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