-6(4x-3)+5(5x-4)-8=7-8

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Solution for -6(4x-3)+5(5x-4)-8=7-8 equation: 


Simplifying
-6(4x + -3) + 5(5x + -4) + -8 = 7 + -8

Reorder the terms:
-6(-3 + 4x) + 5(5x + -4) + -8 = 7 + -8
(-3 * -6 + 4x * -6) + 5(5x + -4) + -8 = 7 + -8
(18 + -24x) + 5(5x + -4) + -8 = 7 + -8

Reorder the terms:
18 + -24x + 5(-4 + 5x) + -8 = 7 + -8
18 + -24x + (-4 * 5 + 5x * 5) + -8 = 7 + -8
18 + -24x + (-20 + 25x) + -8 = 7 + -8

Reorder the terms:
18 + -20 + -8 + -24x + 25x = 7 + -8

Combine like terms: 18 + -20 = -2
-2 + -8 + -24x + 25x = 7 + -8

Combine like terms: -2 + -8 = -10
-10 + -24x + 25x = 7 + -8

Combine like terms: -24x + 25x = 1x
-10 + 1x = 7 + -8

Combine like terms: 7 + -8 = -1
-10 + 1x = -1

Solving
-10 + 1x = -1

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 1x = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -1 + 10
1x = -1 + 10

Combine like terms: -1 + 10 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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