13-4(5x+1)-3(7-5x)=-32

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Solution for 13-4(5x+1)-3(7-5x)=-32 equation: 


Simplifying
13 + -4(5x + 1) + -3(7 + -5x) = -32

Reorder the terms:
13 + -4(1 + 5x) + -3(7 + -5x) = -32
13 + (1 * -4 + 5x * -4) + -3(7 + -5x) = -32
13 + (-4 + -20x) + -3(7 + -5x) = -32
13 + -4 + -20x + (7 * -3 + -5x * -3) = -32
13 + -4 + -20x + (-21 + 15x) = -32

Reorder the terms:
13 + -4 + -21 + -20x + 15x = -32

Combine like terms: 13 + -4 = 9
9 + -21 + -20x + 15x = -32

Combine like terms: 9 + -21 = -12
-12 + -20x + 15x = -32

Combine like terms: -20x + 15x = -5x
-12 + -5x = -32

Solving
-12 + -5x = -32

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + -5x = -32 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = -32 + 12
-5x = -32 + 12

Combine like terms: -32 + 12 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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