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

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


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

Reorder the terms:
3x + -4(-6 + 5x) = 8 + -7x
3x + (-6 * -4 + 5x * -4) = 8 + -7x
3x + (24 + -20x) = 8 + -7x

Reorder the terms:
24 + 3x + -20x = 8 + -7x

Combine like terms: 3x + -20x = -17x
24 + -17x = 8 + -7x

Solving
24 + -17x = 8 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
24 + -17x + 7x = 8 + -7x + 7x

Combine like terms: -17x + 7x = -10x
24 + -10x = 8 + -7x + 7x

Combine like terms: -7x + 7x = 0
24 + -10x = 8 + 0
24 + -10x = 8

Add '-24' to each side of the equation.
24 + -24 + -10x = 8 + -24

Combine like terms: 24 + -24 = 0
0 + -10x = 8 + -24
-10x = 8 + -24

Combine like terms: 8 + -24 = -16
-10x = -16

Divide each side by '-10'.
x = 1.6

Simplifying
x = 1.6

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