11-(x+8)=4x-7

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Solution for 11-(x+8)=4x-7 equation:


Simplifying
11 + -1(x + 8) = 4x + -7

Reorder the terms:
11 + -1(8 + x) = 4x + -7
11 + (8 * -1 + x * -1) = 4x + -7
11 + (-8 + -1x) = 4x + -7

Combine like terms: 11 + -8 = 3
3 + -1x = 4x + -7

Reorder the terms:
3 + -1x = -7 + 4x

Solving
3 + -1x = -7 + 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.
3 + -1x + -4x = -7 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
3 + -5x = -7 + 0
3 + -5x = -7

Add '-3' to each side of the equation.
3 + -3 + -5x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -7 + -3
-5x = -7 + -3

Combine like terms: -7 + -3 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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