-5(3x-7)+3(x-1)=-5-7

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


Simplifying
-5(3x + -7) + 3(x + -1) = -5 + -7

Reorder the terms:
-5(-7 + 3x) + 3(x + -1) = -5 + -7
(-7 * -5 + 3x * -5) + 3(x + -1) = -5 + -7
(35 + -15x) + 3(x + -1) = -5 + -7

Reorder the terms:
35 + -15x + 3(-1 + x) = -5 + -7
35 + -15x + (-1 * 3 + x * 3) = -5 + -7
35 + -15x + (-3 + 3x) = -5 + -7

Reorder the terms:
35 + -3 + -15x + 3x = -5 + -7

Combine like terms: 35 + -3 = 32
32 + -15x + 3x = -5 + -7

Combine like terms: -15x + 3x = -12x
32 + -12x = -5 + -7

Combine like terms: -5 + -7 = -12
32 + -12x = -12

Solving
32 + -12x = -12

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + -12x = -12 + -32

Combine like terms: 32 + -32 = 0
0 + -12x = -12 + -32
-12x = -12 + -32

Combine like terms: -12 + -32 = -44
-12x = -44

Divide each side by '-12'.
x = 3.666666667

Simplifying
x = 3.666666667

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