2(3x+4)=6x-(-3+5x)

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Solution for 2(3x+4)=6x-(-3+5x) equation:


Simplifying
2(3x + 4) = 6x + -1(-3 + 5x)

Reorder the terms:
2(4 + 3x) = 6x + -1(-3 + 5x)
(4 * 2 + 3x * 2) = 6x + -1(-3 + 5x)
(8 + 6x) = 6x + -1(-3 + 5x)
8 + 6x = 6x + (-3 * -1 + 5x * -1)
8 + 6x = 6x + (3 + -5x)

Reorder the terms:
8 + 6x = 3 + 6x + -5x

Combine like terms: 6x + -5x = 1x
8 + 6x = 3 + 1x

Solving
8 + 6x = 3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
8 + 6x + -1x = 3 + 1x + -1x

Combine like terms: 6x + -1x = 5x
8 + 5x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
8 + 5x = 3 + 0
8 + 5x = 3

Add '-8' to each side of the equation.
8 + -8 + 5x = 3 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 3 + -8
5x = 3 + -8

Combine like terms: 3 + -8 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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