6(x+9)-8(2x-2)=11

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Solution for 6(x+9)-8(2x-2)=11 equation:


Simplifying
6(x + 9) + -8(2x + -2) = 11

Reorder the terms:
6(9 + x) + -8(2x + -2) = 11
(9 * 6 + x * 6) + -8(2x + -2) = 11
(54 + 6x) + -8(2x + -2) = 11

Reorder the terms:
54 + 6x + -8(-2 + 2x) = 11
54 + 6x + (-2 * -8 + 2x * -8) = 11
54 + 6x + (16 + -16x) = 11

Reorder the terms:
54 + 16 + 6x + -16x = 11

Combine like terms: 54 + 16 = 70
70 + 6x + -16x = 11

Combine like terms: 6x + -16x = -10x
70 + -10x = 11

Solving
70 + -10x = 11

Solving for variable 'x'.

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

Add '-70' to each side of the equation.
70 + -70 + -10x = 11 + -70

Combine like terms: 70 + -70 = 0
0 + -10x = 11 + -70
-10x = 11 + -70

Combine like terms: 11 + -70 = -59
-10x = -59

Divide each side by '-10'.
x = 5.9

Simplifying
x = 5.9

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