13-7x=-4(7x+2)-4(-3-5x)

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Solution for 13-7x=-4(7x+2)-4(-3-5x) equation:


Simplifying
13 + -7x = -4(7x + 2) + -4(-3 + -5x)

Reorder the terms:
13 + -7x = -4(2 + 7x) + -4(-3 + -5x)
13 + -7x = (2 * -4 + 7x * -4) + -4(-3 + -5x)
13 + -7x = (-8 + -28x) + -4(-3 + -5x)
13 + -7x = -8 + -28x + (-3 * -4 + -5x * -4)
13 + -7x = -8 + -28x + (12 + 20x)

Reorder the terms:
13 + -7x = -8 + 12 + -28x + 20x

Combine like terms: -8 + 12 = 4
13 + -7x = 4 + -28x + 20x

Combine like terms: -28x + 20x = -8x
13 + -7x = 4 + -8x

Solving
13 + -7x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
13 + -7x + 8x = 4 + -8x + 8x

Combine like terms: -7x + 8x = 1x
13 + 1x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
13 + 1x = 4 + 0
13 + 1x = 4

Add '-13' to each side of the equation.
13 + -13 + 1x = 4 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 4 + -13
1x = 4 + -13

Combine like terms: 4 + -13 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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