4x-2(x-5)=-3+5x-2

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Solution for 4x-2(x-5)=-3+5x-2 equation:


Simplifying
4x + -2(x + -5) = -3 + 5x + -2

Reorder the terms:
4x + -2(-5 + x) = -3 + 5x + -2
4x + (-5 * -2 + x * -2) = -3 + 5x + -2
4x + (10 + -2x) = -3 + 5x + -2

Reorder the terms:
10 + 4x + -2x = -3 + 5x + -2

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

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

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

Solving
10 + 2x = -5 + 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.
10 + 2x + -5x = -5 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
10 + -3x = -5 + 0
10 + -3x = -5

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

Combine like terms: 10 + -10 = 0
0 + -3x = -5 + -10
-3x = -5 + -10

Combine like terms: -5 + -10 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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