11(6-x)+4=-4(x-2)-6

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Solution for 11(6-x)+4=-4(x-2)-6 equation:


Simplifying
11(6 + -1x) + 4 = -4(x + -2) + -6
(6 * 11 + -1x * 11) + 4 = -4(x + -2) + -6
(66 + -11x) + 4 = -4(x + -2) + -6

Reorder the terms:
66 + 4 + -11x = -4(x + -2) + -6

Combine like terms: 66 + 4 = 70
70 + -11x = -4(x + -2) + -6

Reorder the terms:
70 + -11x = -4(-2 + x) + -6
70 + -11x = (-2 * -4 + x * -4) + -6
70 + -11x = (8 + -4x) + -6

Reorder the terms:
70 + -11x = 8 + -6 + -4x

Combine like terms: 8 + -6 = 2
70 + -11x = 2 + -4x

Solving
70 + -11x = 2 + -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.
70 + -11x + 4x = 2 + -4x + 4x

Combine like terms: -11x + 4x = -7x
70 + -7x = 2 + -4x + 4x

Combine like terms: -4x + 4x = 0
70 + -7x = 2 + 0
70 + -7x = 2

Add '-70' to each side of the equation.
70 + -70 + -7x = 2 + -70

Combine like terms: 70 + -70 = 0
0 + -7x = 2 + -70
-7x = 2 + -70

Combine like terms: 2 + -70 = -68
-7x = -68

Divide each side by '-7'.
x = 9.714285714

Simplifying
x = 9.714285714

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