2(x-5)+7=11-x

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Solution for 2(x-5)+7=11-x equation:


Simplifying
2(x + -5) + 7 = 11 + -1x

Reorder the terms:
2(-5 + x) + 7 = 11 + -1x
(-5 * 2 + x * 2) + 7 = 11 + -1x
(-10 + 2x) + 7 = 11 + -1x

Reorder the terms:
-10 + 7 + 2x = 11 + -1x

Combine like terms: -10 + 7 = -3
-3 + 2x = 11 + -1x

Solving
-3 + 2x = 11 + -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.
-3 + 2x + x = 11 + -1x + x

Combine like terms: 2x + x = 3x
-3 + 3x = 11 + -1x + x

Combine like terms: -1x + x = 0
-3 + 3x = 11 + 0
-3 + 3x = 11

Add '3' to each side of the equation.
-3 + 3 + 3x = 11 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = 11 + 3
3x = 11 + 3

Combine like terms: 11 + 3 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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