4(5-7x)-6=-3(4x-5)

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Solution for 4(5-7x)-6=-3(4x-5) equation:


Simplifying
4(5 + -7x) + -6 = -3(4x + -5)
(5 * 4 + -7x * 4) + -6 = -3(4x + -5)
(20 + -28x) + -6 = -3(4x + -5)

Reorder the terms:
20 + -6 + -28x = -3(4x + -5)

Combine like terms: 20 + -6 = 14
14 + -28x = -3(4x + -5)

Reorder the terms:
14 + -28x = -3(-5 + 4x)
14 + -28x = (-5 * -3 + 4x * -3)
14 + -28x = (15 + -12x)

Solving
14 + -28x = 15 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
14 + -28x + 12x = 15 + -12x + 12x

Combine like terms: -28x + 12x = -16x
14 + -16x = 15 + -12x + 12x

Combine like terms: -12x + 12x = 0
14 + -16x = 15 + 0
14 + -16x = 15

Add '-14' to each side of the equation.
14 + -14 + -16x = 15 + -14

Combine like terms: 14 + -14 = 0
0 + -16x = 15 + -14
-16x = 15 + -14

Combine like terms: 15 + -14 = 1
-16x = 1

Divide each side by '-16'.
x = -0.0625

Simplifying
x = -0.0625

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