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

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


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

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

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

Combine like terms: 5x + -4x = 1x
-2 + 1x = 2x + -10

Reorder the terms:
-2 + 1x = -10 + 2x

Solving
-2 + 1x = -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.
-2 + 1x + -2x = -10 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-2 + -1x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2 + -1x = -10 + 0
-2 + -1x = -10

Add '2' to each side of the equation.
-2 + 2 + -1x = -10 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -10 + 2
-1x = -10 + 2

Combine like terms: -10 + 2 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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