7(12+4x)-6(11+9x)=122

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Solution for 7(12+4x)-6(11+9x)=122 equation:


Simplifying
7(12 + 4x) + -6(11 + 9x) = 122
(12 * 7 + 4x * 7) + -6(11 + 9x) = 122
(84 + 28x) + -6(11 + 9x) = 122
84 + 28x + (11 * -6 + 9x * -6) = 122
84 + 28x + (-66 + -54x) = 122

Reorder the terms:
84 + -66 + 28x + -54x = 122

Combine like terms: 84 + -66 = 18
18 + 28x + -54x = 122

Combine like terms: 28x + -54x = -26x
18 + -26x = 122

Solving
18 + -26x = 122

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -26x = 122 + -18

Combine like terms: 18 + -18 = 0
0 + -26x = 122 + -18
-26x = 122 + -18

Combine like terms: 122 + -18 = 104
-26x = 104

Divide each side by '-26'.
x = -4

Simplifying
x = -4

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