5(x-1)=2(2x-3)

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Solution for 5(x-1)=2(2x-3) equation:


Simplifying
5(x + -1) = 2(2x + -3)

Reorder the terms:
5(-1 + x) = 2(2x + -3)
(-1 * 5 + x * 5) = 2(2x + -3)
(-5 + 5x) = 2(2x + -3)

Reorder the terms:
-5 + 5x = 2(-3 + 2x)
-5 + 5x = (-3 * 2 + 2x * 2)
-5 + 5x = (-6 + 4x)

Solving
-5 + 5x = -6 + 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.
-5 + 5x + -4x = -6 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-5 + 1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + 1x = -6 + 0
-5 + 1x = -6

Add '5' to each side of the equation.
-5 + 5 + 1x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -6 + 5
1x = -6 + 5

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

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

Simplifying
x = -1

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