5x+8=3+2(3x-4)

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Solution for 5x+8=3+2(3x-4) equation:


Simplifying
5x + 8 = 3 + 2(3x + -4)

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

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

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

Solving
8 + 5x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
8 + 5x + -6x = -5 + 6x + -6x

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

Combine like terms: 6x + -6x = 0
8 + -1x = -5 + 0
8 + -1x = -5

Add '-8' to each side of the equation.
8 + -8 + -1x = -5 + -8

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

Combine like terms: -5 + -8 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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