4x-(-3x-5)=2x-10

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Solution for 4x-(-3x-5)=2x-10 equation:


Simplifying
4x + -1(-3x + -5) = 2x + -10

Reorder the terms:
4x + -1(-5 + -3x) = 2x + -10
4x + (-5 * -1 + -3x * -1) = 2x + -10
4x + (5 + 3x) = 2x + -10

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

Combine like terms: 4x + 3x = 7x
5 + 7x = 2x + -10

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

Solving
5 + 7x = -10 + 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.
5 + 7x + -2x = -10 + 2x + -2x

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

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

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

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

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

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

Simplifying
x = -3

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