5x-10=2(x-2)

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Solution for 5x-10=2(x-2) equation:


Simplifying
5x + -10 = 2(x + -2)

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

Reorder the terms:
-10 + 5x = 2(-2 + x)
-10 + 5x = (-2 * 2 + x * 2)
-10 + 5x = (-4 + 2x)

Solving
-10 + 5x = -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.
-10 + 5x + -2x = -4 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-10 + 3x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 3x = -4 + 0
-10 + 3x = -4

Add '10' to each side of the equation.
-10 + 10 + 3x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = -4 + 10
3x = -4 + 10

Combine like terms: -4 + 10 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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