4x-2(x+6)=5x-3

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Solution for 4x-2(x+6)=5x-3 equation:


Simplifying
4x + -2(x + 6) = 5x + -3

Reorder the terms:
4x + -2(6 + x) = 5x + -3
4x + (6 * -2 + x * -2) = 5x + -3
4x + (-12 + -2x) = 5x + -3

Reorder the terms:
-12 + 4x + -2x = 5x + -3

Combine like terms: 4x + -2x = 2x
-12 + 2x = 5x + -3

Reorder the terms:
-12 + 2x = -3 + 5x

Solving
-12 + 2x = -3 + 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.
-12 + 2x + -5x = -3 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-12 + -3x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + -3x = -3 + 0
-12 + -3x = -3

Add '12' to each side of the equation.
-12 + 12 + -3x = -3 + 12

Combine like terms: -12 + 12 = 0
0 + -3x = -3 + 12
-3x = -3 + 12

Combine like terms: -3 + 12 = 9
-3x = 9

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

Simplifying
x = -3

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