3(x-2)+11=-x+7

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


Simplifying
3(x + -2) + 11 = -1x + 7

Reorder the terms:
3(-2 + x) + 11 = -1x + 7
(-2 * 3 + x * 3) + 11 = -1x + 7
(-6 + 3x) + 11 = -1x + 7

Reorder the terms:
-6 + 11 + 3x = -1x + 7

Combine like terms: -6 + 11 = 5
5 + 3x = -1x + 7

Reorder the terms:
5 + 3x = 7 + -1x

Solving
5 + 3x = 7 + -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.
5 + 3x + x = 7 + -1x + x

Combine like terms: 3x + x = 4x
5 + 4x = 7 + -1x + x

Combine like terms: -1x + x = 0
5 + 4x = 7 + 0
5 + 4x = 7

Add '-5' to each side of the equation.
5 + -5 + 4x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = 7 + -5
4x = 7 + -5

Combine like terms: 7 + -5 = 2
4x = 2

Divide each side by '4'.
x = 0.5

Simplifying
x = 0.5

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