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

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


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

Reorder the terms:
5(-3 + 2x) = 2(x + -2)
(-3 * 5 + 2x * 5) = 2(x + -2)
(-15 + 10x) = 2(x + -2)

Reorder the terms:
-15 + 10x = 2(-2 + x)
-15 + 10x = (-2 * 2 + x * 2)
-15 + 10x = (-4 + 2x)

Solving
-15 + 10x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-15 + 10x + -2x = -4 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-15 + 8x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-15 + 8x = -4 + 0
-15 + 8x = -4

Add '15' to each side of the equation.
-15 + 15 + 8x = -4 + 15

Combine like terms: -15 + 15 = 0
0 + 8x = -4 + 15
8x = -4 + 15

Combine like terms: -4 + 15 = 11
8x = 11

Divide each side by '8'.
x = 1.375

Simplifying
x = 1.375

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