4x-11=-5(-7x-4)

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Solution for 4x-11=-5(-7x-4) equation:


Simplifying
4x + -11 = -5(-7x + -4)

Reorder the terms:
-11 + 4x = -5(-7x + -4)

Reorder the terms:
-11 + 4x = -5(-4 + -7x)
-11 + 4x = (-4 * -5 + -7x * -5)
-11 + 4x = (20 + 35x)

Solving
-11 + 4x = 20 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
-11 + 4x + -35x = 20 + 35x + -35x

Combine like terms: 4x + -35x = -31x
-11 + -31x = 20 + 35x + -35x

Combine like terms: 35x + -35x = 0
-11 + -31x = 20 + 0
-11 + -31x = 20

Add '11' to each side of the equation.
-11 + 11 + -31x = 20 + 11

Combine like terms: -11 + 11 = 0
0 + -31x = 20 + 11
-31x = 20 + 11

Combine like terms: 20 + 11 = 31
-31x = 31

Divide each side by '-31'.
x = -1

Simplifying
x = -1

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