2x-5(x-2)=-7+3x-13

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Solution for 2x-5(x-2)=-7+3x-13 equation: 


Simplifying
2x + -5(x + -2) = -7 + 3x + -13

Reorder the terms:
2x + -5(-2 + x) = -7 + 3x + -13
2x + (-2 * -5 + x * -5) = -7 + 3x + -13
2x + (10 + -5x) = -7 + 3x + -13

Reorder the terms:
10 + 2x + -5x = -7 + 3x + -13

Combine like terms: 2x + -5x = -3x
10 + -3x = -7 + 3x + -13

Reorder the terms:
10 + -3x = -7 + -13 + 3x

Combine like terms: -7 + -13 = -20
10 + -3x = -20 + 3x

Solving
10 + -3x = -20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + -3x + -3x = -20 + 3x + -3x

Combine like terms: -3x + -3x = -6x
10 + -6x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + -6x = -20 + 0
10 + -6x = -20

Add '-10' to each side of the equation.
10 + -10 + -6x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -20 + -10
-6x = -20 + -10

Combine like terms: -20 + -10 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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