5(2x+3)+4(7x-5)-2(x-1)=-39

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Solution for 5(2x+3)+4(7x-5)-2(x-1)=-39 equation:


Simplifying
5(2x + 3) + 4(7x + -5) + -2(x + -1) = -39

Reorder the terms:
5(3 + 2x) + 4(7x + -5) + -2(x + -1) = -39
(3 * 5 + 2x * 5) + 4(7x + -5) + -2(x + -1) = -39
(15 + 10x) + 4(7x + -5) + -2(x + -1) = -39

Reorder the terms:
15 + 10x + 4(-5 + 7x) + -2(x + -1) = -39
15 + 10x + (-5 * 4 + 7x * 4) + -2(x + -1) = -39
15 + 10x + (-20 + 28x) + -2(x + -1) = -39

Reorder the terms:
15 + 10x + -20 + 28x + -2(-1 + x) = -39
15 + 10x + -20 + 28x + (-1 * -2 + x * -2) = -39
15 + 10x + -20 + 28x + (2 + -2x) = -39

Reorder the terms:
15 + -20 + 2 + 10x + 28x + -2x = -39

Combine like terms: 15 + -20 = -5
-5 + 2 + 10x + 28x + -2x = -39

Combine like terms: -5 + 2 = -3
-3 + 10x + 28x + -2x = -39

Combine like terms: 10x + 28x = 38x
-3 + 38x + -2x = -39

Combine like terms: 38x + -2x = 36x
-3 + 36x = -39

Solving
-3 + 36x = -39

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 36x = -39 + 3

Combine like terms: -3 + 3 = 0
0 + 36x = -39 + 3
36x = -39 + 3

Combine like terms: -39 + 3 = -36
36x = -36

Divide each side by '36'.
x = -1

Simplifying
x = -1

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