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

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


Simplifying
7x + -4 = -11x + -10(6 + -1x)

Reorder the terms:
-4 + 7x = -11x + -10(6 + -1x)
-4 + 7x = -11x + (6 * -10 + -1x * -10)
-4 + 7x = -11x + (-60 + 10x)

Reorder the terms:
-4 + 7x = -60 + -11x + 10x

Combine like terms: -11x + 10x = -1x
-4 + 7x = -60 + -1x

Solving
-4 + 7x = -60 + -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.
-4 + 7x + x = -60 + -1x + x

Combine like terms: 7x + x = 8x
-4 + 8x = -60 + -1x + x

Combine like terms: -1x + x = 0
-4 + 8x = -60 + 0
-4 + 8x = -60

Add '4' to each side of the equation.
-4 + 4 + 8x = -60 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = -60 + 4
8x = -60 + 4

Combine like terms: -60 + 4 = -56
8x = -56

Divide each side by '8'.
x = -7

Simplifying
x = -7

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