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

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Solution for 5(x-4)=2(3x-3) equation:


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

Reorder the terms:
5(-4 + x) = 2(3x + -3)
(-4 * 5 + x * 5) = 2(3x + -3)
(-20 + 5x) = 2(3x + -3)

Reorder the terms:
-20 + 5x = 2(-3 + 3x)
-20 + 5x = (-3 * 2 + 3x * 2)
-20 + 5x = (-6 + 6x)

Solving
-20 + 5x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20 + 5x + -6x = -6 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-20 + -1x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + -1x = -6 + 0
-20 + -1x = -6

Add '20' to each side of the equation.
-20 + 20 + -1x = -6 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = -6 + 20
-1x = -6 + 20

Combine like terms: -6 + 20 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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