(-4x-11)+(-4x+6)=10x+7

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Solution for (-4x-11)+(-4x+6)=10x+7 equation:


Simplifying
(-4x + -11) + (-4x + 6) = 10x + 7

Reorder the terms:
(-11 + -4x) + (-4x + 6) = 10x + 7

Remove parenthesis around (-11 + -4x)
-11 + -4x + (-4x + 6) = 10x + 7

Reorder the terms:
-11 + -4x + (6 + -4x) = 10x + 7

Remove parenthesis around (6 + -4x)
-11 + -4x + 6 + -4x = 10x + 7

Reorder the terms:
-11 + 6 + -4x + -4x = 10x + 7

Combine like terms: -11 + 6 = -5
-5 + -4x + -4x = 10x + 7

Combine like terms: -4x + -4x = -8x
-5 + -8x = 10x + 7

Reorder the terms:
-5 + -8x = 7 + 10x

Solving
-5 + -8x = 7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-5 + -8x + -10x = 7 + 10x + -10x

Combine like terms: -8x + -10x = -18x
-5 + -18x = 7 + 10x + -10x

Combine like terms: 10x + -10x = 0
-5 + -18x = 7 + 0
-5 + -18x = 7

Add '5' to each side of the equation.
-5 + 5 + -18x = 7 + 5

Combine like terms: -5 + 5 = 0
0 + -18x = 7 + 5
-18x = 7 + 5

Combine like terms: 7 + 5 = 12
-18x = 12

Divide each side by '-18'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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