x+10-3x+12=7x+2(11-4x)

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Solution for x+10-3x+12=7x+2(11-4x) equation:


Simplifying
x + 10 + -3x + 12 = 7x + 2(11 + -4x)

Reorder the terms:
10 + 12 + x + -3x = 7x + 2(11 + -4x)

Combine like terms: 10 + 12 = 22
22 + x + -3x = 7x + 2(11 + -4x)

Combine like terms: x + -3x = -2x
22 + -2x = 7x + 2(11 + -4x)
22 + -2x = 7x + (11 * 2 + -4x * 2)
22 + -2x = 7x + (22 + -8x)

Reorder the terms:
22 + -2x = 22 + 7x + -8x

Combine like terms: 7x + -8x = -1x
22 + -2x = 22 + -1x

Add '-22' to each side of the equation.
22 + -22 + -2x = 22 + -22 + -1x

Combine like terms: 22 + -22 = 0
0 + -2x = 22 + -22 + -1x
-2x = 22 + -22 + -1x

Combine like terms: 22 + -22 = 0
-2x = 0 + -1x
-2x = -1x

Solving
-2x = -1x

Solving for variable 'x'.

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

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

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

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

Divide each side by '-1'.
x = 0

Simplifying
x = 0

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