26-4x=-5(4x+5)-5(-8-3x)

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Solution for 26-4x=-5(4x+5)-5(-8-3x) equation:


Simplifying
26 + -4x = -5(4x + 5) + -5(-8 + -3x)

Reorder the terms:
26 + -4x = -5(5 + 4x) + -5(-8 + -3x)
26 + -4x = (5 * -5 + 4x * -5) + -5(-8 + -3x)
26 + -4x = (-25 + -20x) + -5(-8 + -3x)
26 + -4x = -25 + -20x + (-8 * -5 + -3x * -5)
26 + -4x = -25 + -20x + (40 + 15x)

Reorder the terms:
26 + -4x = -25 + 40 + -20x + 15x

Combine like terms: -25 + 40 = 15
26 + -4x = 15 + -20x + 15x

Combine like terms: -20x + 15x = -5x
26 + -4x = 15 + -5x

Solving
26 + -4x = 15 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
26 + -4x + 5x = 15 + -5x + 5x

Combine like terms: -4x + 5x = 1x
26 + 1x = 15 + -5x + 5x

Combine like terms: -5x + 5x = 0
26 + 1x = 15 + 0
26 + 1x = 15

Add '-26' to each side of the equation.
26 + -26 + 1x = 15 + -26

Combine like terms: 26 + -26 = 0
0 + 1x = 15 + -26
1x = 15 + -26

Combine like terms: 15 + -26 = -11
1x = -11

Divide each side by '1'.
x = -11

Simplifying
x = -11

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