8(7-2x)+7(3-4x)+12=7-3x

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Solution for 8(7-2x)+7(3-4x)+12=7-3x equation:


Simplifying
8(7 + -2x) + 7(3 + -4x) + 12 = 7 + -3x
(7 * 8 + -2x * 8) + 7(3 + -4x) + 12 = 7 + -3x
(56 + -16x) + 7(3 + -4x) + 12 = 7 + -3x
56 + -16x + (3 * 7 + -4x * 7) + 12 = 7 + -3x
56 + -16x + (21 + -28x) + 12 = 7 + -3x

Reorder the terms:
56 + 21 + 12 + -16x + -28x = 7 + -3x

Combine like terms: 56 + 21 = 77
77 + 12 + -16x + -28x = 7 + -3x

Combine like terms: 77 + 12 = 89
89 + -16x + -28x = 7 + -3x

Combine like terms: -16x + -28x = -44x
89 + -44x = 7 + -3x

Solving
89 + -44x = 7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
89 + -44x + 3x = 7 + -3x + 3x

Combine like terms: -44x + 3x = -41x
89 + -41x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
89 + -41x = 7 + 0
89 + -41x = 7

Add '-89' to each side of the equation.
89 + -89 + -41x = 7 + -89

Combine like terms: 89 + -89 = 0
0 + -41x = 7 + -89
-41x = 7 + -89

Combine like terms: 7 + -89 = -82
-41x = -82

Divide each side by '-41'.
x = 2

Simplifying
x = 2

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