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

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


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

Reorder the terms:
5(-2 + x) + -1x = -3 + 2(x + 2)
(-2 * 5 + x * 5) + -1x = -3 + 2(x + 2)
(-10 + 5x) + -1x = -3 + 2(x + 2)

Combine like terms: 5x + -1x = 4x
-10 + 4x = -3 + 2(x + 2)

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

Combine like terms: -3 + 4 = 1
-10 + 4x = 1 + 2x

Solving
-10 + 4x = 1 + 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 + 4x + -2x = 1 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-10 + 2x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 2x = 1 + 0
-10 + 2x = 1

Add '10' to each side of the equation.
-10 + 10 + 2x = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 1 + 10
2x = 1 + 10

Combine like terms: 1 + 10 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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