36=-3(4x+6)+7(1-5x)

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Solution for 36=-3(4x+6)+7(1-5x) equation:


Simplifying
36 = -3(4x + 6) + 7(1 + -5x)

Reorder the terms:
36 = -3(6 + 4x) + 7(1 + -5x)
36 = (6 * -3 + 4x * -3) + 7(1 + -5x)
36 = (-18 + -12x) + 7(1 + -5x)
36 = -18 + -12x + (1 * 7 + -5x * 7)
36 = -18 + -12x + (7 + -35x)

Reorder the terms:
36 = -18 + 7 + -12x + -35x

Combine like terms: -18 + 7 = -11
36 = -11 + -12x + -35x

Combine like terms: -12x + -35x = -47x
36 = -11 + -47x

Solving
36 = -11 + -47x

Solving for variable 'x'.

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

Add '47x' to each side of the equation.
36 + 47x = -11 + -47x + 47x

Combine like terms: -47x + 47x = 0
36 + 47x = -11 + 0
36 + 47x = -11

Add '-36' to each side of the equation.
36 + -36 + 47x = -11 + -36

Combine like terms: 36 + -36 = 0
0 + 47x = -11 + -36
47x = -11 + -36

Combine like terms: -11 + -36 = -47
47x = -47

Divide each side by '47'.
x = -1

Simplifying
x = -1

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