2(-3x+4)=4(-2x+6)

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Solution for 2(-3x+4)=4(-2x+6) equation:


Simplifying
2(-3x + 4) = 4(-2x + 6)

Reorder the terms:
2(4 + -3x) = 4(-2x + 6)
(4 * 2 + -3x * 2) = 4(-2x + 6)
(8 + -6x) = 4(-2x + 6)

Reorder the terms:
8 + -6x = 4(6 + -2x)
8 + -6x = (6 * 4 + -2x * 4)
8 + -6x = (24 + -8x)

Solving
8 + -6x = 24 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
8 + -6x + 8x = 24 + -8x + 8x

Combine like terms: -6x + 8x = 2x
8 + 2x = 24 + -8x + 8x

Combine like terms: -8x + 8x = 0
8 + 2x = 24 + 0
8 + 2x = 24

Add '-8' to each side of the equation.
8 + -8 + 2x = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 2x = 24 + -8
2x = 24 + -8

Combine like terms: 24 + -8 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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