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

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


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

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

Reorder the terms:
-4 + 2x + -3(5 + x) = 2x + -2
-4 + 2x + (5 * -3 + x * -3) = 2x + -2
-4 + 2x + (-15 + -3x) = 2x + -2

Reorder the terms:
-4 + -15 + 2x + -3x = 2x + -2

Combine like terms: -4 + -15 = -19
-19 + 2x + -3x = 2x + -2

Combine like terms: 2x + -3x = -1x
-19 + -1x = 2x + -2

Reorder the terms:
-19 + -1x = -2 + 2x

Solving
-19 + -1x = -2 + 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.
-19 + -1x + -2x = -2 + 2x + -2x

Combine like terms: -1x + -2x = -3x
-19 + -3x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-19 + -3x = -2 + 0
-19 + -3x = -2

Add '19' to each side of the equation.
-19 + 19 + -3x = -2 + 19

Combine like terms: -19 + 19 = 0
0 + -3x = -2 + 19
-3x = -2 + 19

Combine like terms: -2 + 19 = 17
-3x = 17

Divide each side by '-3'.
x = -5.666666667

Simplifying
x = -5.666666667

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