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

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


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

Reorder the terms:
-6(5 + 3x) + 4(7x + -8) = -6x + -5 + -3x
(5 * -6 + 3x * -6) + 4(7x + -8) = -6x + -5 + -3x
(-30 + -18x) + 4(7x + -8) = -6x + -5 + -3x

Reorder the terms:
-30 + -18x + 4(-8 + 7x) = -6x + -5 + -3x
-30 + -18x + (-8 * 4 + 7x * 4) = -6x + -5 + -3x
-30 + -18x + (-32 + 28x) = -6x + -5 + -3x

Reorder the terms:
-30 + -32 + -18x + 28x = -6x + -5 + -3x

Combine like terms: -30 + -32 = -62
-62 + -18x + 28x = -6x + -5 + -3x

Combine like terms: -18x + 28x = 10x
-62 + 10x = -6x + -5 + -3x

Reorder the terms:
-62 + 10x = -5 + -6x + -3x

Combine like terms: -6x + -3x = -9x
-62 + 10x = -5 + -9x

Solving
-62 + 10x = -5 + -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.
-62 + 10x + 9x = -5 + -9x + 9x

Combine like terms: 10x + 9x = 19x
-62 + 19x = -5 + -9x + 9x

Combine like terms: -9x + 9x = 0
-62 + 19x = -5 + 0
-62 + 19x = -5

Add '62' to each side of the equation.
-62 + 62 + 19x = -5 + 62

Combine like terms: -62 + 62 = 0
0 + 19x = -5 + 62
19x = -5 + 62

Combine like terms: -5 + 62 = 57
19x = 57

Divide each side by '19'.
x = 3

Simplifying
x = 3

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