4x-(2x+6)=3x-20

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Solution for 4x-(2x+6)=3x-20 equation:


Simplifying
4x + -1(2x + 6) = 3x + -20

Reorder the terms:
4x + -1(6 + 2x) = 3x + -20
4x + (6 * -1 + 2x * -1) = 3x + -20
4x + (-6 + -2x) = 3x + -20

Reorder the terms:
-6 + 4x + -2x = 3x + -20

Combine like terms: 4x + -2x = 2x
-6 + 2x = 3x + -20

Reorder the terms:
-6 + 2x = -20 + 3x

Solving
-6 + 2x = -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.
-6 + 2x + -3x = -20 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-6 + -1x = -20 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + -1x = -20 + 0
-6 + -1x = -20

Add '6' to each side of the equation.
-6 + 6 + -1x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -20 + 6
-1x = -20 + 6

Combine like terms: -20 + 6 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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