6(x+2)-5(9x-7)=-40(x-1)-10

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Solution for 6(x+2)-5(9x-7)=-40(x-1)-10 equation:


Simplifying
6(x + 2) + -5(9x + -7) = -40(x + -1) + -10

Reorder the terms:
6(2 + x) + -5(9x + -7) = -40(x + -1) + -10
(2 * 6 + x * 6) + -5(9x + -7) = -40(x + -1) + -10
(12 + 6x) + -5(9x + -7) = -40(x + -1) + -10

Reorder the terms:
12 + 6x + -5(-7 + 9x) = -40(x + -1) + -10
12 + 6x + (-7 * -5 + 9x * -5) = -40(x + -1) + -10
12 + 6x + (35 + -45x) = -40(x + -1) + -10

Reorder the terms:
12 + 35 + 6x + -45x = -40(x + -1) + -10

Combine like terms: 12 + 35 = 47
47 + 6x + -45x = -40(x + -1) + -10

Combine like terms: 6x + -45x = -39x
47 + -39x = -40(x + -1) + -10

Reorder the terms:
47 + -39x = -40(-1 + x) + -10
47 + -39x = (-1 * -40 + x * -40) + -10
47 + -39x = (40 + -40x) + -10

Reorder the terms:
47 + -39x = 40 + -10 + -40x

Combine like terms: 40 + -10 = 30
47 + -39x = 30 + -40x

Solving
47 + -39x = 30 + -40x

Solving for variable 'x'.

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

Add '40x' to each side of the equation.
47 + -39x + 40x = 30 + -40x + 40x

Combine like terms: -39x + 40x = 1x
47 + 1x = 30 + -40x + 40x

Combine like terms: -40x + 40x = 0
47 + 1x = 30 + 0
47 + 1x = 30

Add '-47' to each side of the equation.
47 + -47 + 1x = 30 + -47

Combine like terms: 47 + -47 = 0
0 + 1x = 30 + -47
1x = 30 + -47

Combine like terms: 30 + -47 = -17
1x = -17

Divide each side by '1'.
x = -17

Simplifying
x = -17

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