3x+4-x=2(2x-10)+6

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Solution for 3x+4-x=2(2x-10)+6 equation:


Simplifying
3x + 4 + -1x = 2(2x + -10) + 6

Reorder the terms:
4 + 3x + -1x = 2(2x + -10) + 6

Combine like terms: 3x + -1x = 2x
4 + 2x = 2(2x + -10) + 6

Reorder the terms:
4 + 2x = 2(-10 + 2x) + 6
4 + 2x = (-10 * 2 + 2x * 2) + 6
4 + 2x = (-20 + 4x) + 6

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

Combine like terms: -20 + 6 = -14
4 + 2x = -14 + 4x

Solving
4 + 2x = -14 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
4 + 2x + -4x = -14 + 4x + -4x

Combine like terms: 2x + -4x = -2x
4 + -2x = -14 + 4x + -4x

Combine like terms: 4x + -4x = 0
4 + -2x = -14 + 0
4 + -2x = -14

Add '-4' to each side of the equation.
4 + -4 + -2x = -14 + -4

Combine like terms: 4 + -4 = 0
0 + -2x = -14 + -4
-2x = -14 + -4

Combine like terms: -14 + -4 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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