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

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


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

Reorder the terms:
-4(-1 + 7x) + 5x = -2(3x + 4) + -3x
(-1 * -4 + 7x * -4) + 5x = -2(3x + 4) + -3x
(4 + -28x) + 5x = -2(3x + 4) + -3x

Combine like terms: -28x + 5x = -23x
4 + -23x = -2(3x + 4) + -3x

Reorder the terms:
4 + -23x = -2(4 + 3x) + -3x
4 + -23x = (4 * -2 + 3x * -2) + -3x
4 + -23x = (-8 + -6x) + -3x

Combine like terms: -6x + -3x = -9x
4 + -23x = -8 + -9x

Solving
4 + -23x = -8 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
4 + -23x + 9x = -8 + -9x + 9x

Combine like terms: -23x + 9x = -14x
4 + -14x = -8 + -9x + 9x

Combine like terms: -9x + 9x = 0
4 + -14x = -8 + 0
4 + -14x = -8

Add '-4' to each side of the equation.
4 + -4 + -14x = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -14x = -8 + -4
-14x = -8 + -4

Combine like terms: -8 + -4 = -12
-14x = -12

Divide each side by '-14'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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