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

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


Simplifying
5(2 + -1x) + -3(x + 2) = 2(2x + 2) + -3(2 + x) + -3
(2 * 5 + -1x * 5) + -3(x + 2) = 2(2x + 2) + -3(2 + x) + -3
(10 + -5x) + -3(x + 2) = 2(2x + 2) + -3(2 + x) + -3

Reorder the terms:
10 + -5x + -3(2 + x) = 2(2x + 2) + -3(2 + x) + -3
10 + -5x + (2 * -3 + x * -3) = 2(2x + 2) + -3(2 + x) + -3
10 + -5x + (-6 + -3x) = 2(2x + 2) + -3(2 + x) + -3

Reorder the terms:
10 + -6 + -5x + -3x = 2(2x + 2) + -3(2 + x) + -3

Combine like terms: 10 + -6 = 4
4 + -5x + -3x = 2(2x + 2) + -3(2 + x) + -3

Combine like terms: -5x + -3x = -8x
4 + -8x = 2(2x + 2) + -3(2 + x) + -3

Reorder the terms:
4 + -8x = 2(2 + 2x) + -3(2 + x) + -3
4 + -8x = (2 * 2 + 2x * 2) + -3(2 + x) + -3
4 + -8x = (4 + 4x) + -3(2 + x) + -3
4 + -8x = 4 + 4x + (2 * -3 + x * -3) + -3
4 + -8x = 4 + 4x + (-6 + -3x) + -3

Reorder the terms:
4 + -8x = 4 + -6 + -3 + 4x + -3x

Combine like terms: 4 + -6 = -2
4 + -8x = -2 + -3 + 4x + -3x

Combine like terms: -2 + -3 = -5
4 + -8x = -5 + 4x + -3x

Combine like terms: 4x + -3x = 1x
4 + -8x = -5 + 1x

Solving
4 + -8x = -5 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
4 + -8x + -1x = -5 + 1x + -1x

Combine like terms: -8x + -1x = -9x
4 + -9x = -5 + 1x + -1x

Combine like terms: 1x + -1x = 0
4 + -9x = -5 + 0
4 + -9x = -5

Add '-4' to each side of the equation.
4 + -4 + -9x = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = -5 + -4
-9x = -5 + -4

Combine like terms: -5 + -4 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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