5x-2(x-2)=-9+5x-1

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Solution for 5x-2(x-2)=-9+5x-1 equation:


Simplifying
5x + -2(x + -2) = -9 + 5x + -1

Reorder the terms:
5x + -2(-2 + x) = -9 + 5x + -1
5x + (-2 * -2 + x * -2) = -9 + 5x + -1
5x + (4 + -2x) = -9 + 5x + -1

Reorder the terms:
4 + 5x + -2x = -9 + 5x + -1

Combine like terms: 5x + -2x = 3x
4 + 3x = -9 + 5x + -1

Reorder the terms:
4 + 3x = -9 + -1 + 5x

Combine like terms: -9 + -1 = -10
4 + 3x = -10 + 5x

Solving
4 + 3x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + 3x + -5x = -10 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
4 + -2x = -10 + 0
4 + -2x = -10

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

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

Combine like terms: -10 + -4 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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