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

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Solution for 2(3x+4)=5(3x-1)+4 equation:


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

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

Reorder the terms:
8 + 6x = 5(-1 + 3x) + 4
8 + 6x = (-1 * 5 + 3x * 5) + 4
8 + 6x = (-5 + 15x) + 4

Reorder the terms:
8 + 6x = -5 + 4 + 15x

Combine like terms: -5 + 4 = -1
8 + 6x = -1 + 15x

Solving
8 + 6x = -1 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
8 + 6x + -15x = -1 + 15x + -15x

Combine like terms: 6x + -15x = -9x
8 + -9x = -1 + 15x + -15x

Combine like terms: 15x + -15x = 0
8 + -9x = -1 + 0
8 + -9x = -1

Add '-8' to each side of the equation.
8 + -8 + -9x = -1 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = -1 + -8
-9x = -1 + -8

Combine like terms: -1 + -8 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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