6(-4x+5)=8(-7x+4)-5

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Solution for 6(-4x+5)=8(-7x+4)-5 equation:


Simplifying
6(-4x + 5) = 8(-7x + 4) + -5

Reorder the terms:
6(5 + -4x) = 8(-7x + 4) + -5
(5 * 6 + -4x * 6) = 8(-7x + 4) + -5
(30 + -24x) = 8(-7x + 4) + -5

Reorder the terms:
30 + -24x = 8(4 + -7x) + -5
30 + -24x = (4 * 8 + -7x * 8) + -5
30 + -24x = (32 + -56x) + -5

Reorder the terms:
30 + -24x = 32 + -5 + -56x

Combine like terms: 32 + -5 = 27
30 + -24x = 27 + -56x

Solving
30 + -24x = 27 + -56x

Solving for variable 'x'.

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

Add '56x' to each side of the equation.
30 + -24x + 56x = 27 + -56x + 56x

Combine like terms: -24x + 56x = 32x
30 + 32x = 27 + -56x + 56x

Combine like terms: -56x + 56x = 0
30 + 32x = 27 + 0
30 + 32x = 27

Add '-30' to each side of the equation.
30 + -30 + 32x = 27 + -30

Combine like terms: 30 + -30 = 0
0 + 32x = 27 + -30
32x = 27 + -30

Combine like terms: 27 + -30 = -3
32x = -3

Divide each side by '32'.
x = -0.09375

Simplifying
x = -0.09375

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