2(3x-4)+9=5x+2

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Solution for 2(3x-4)+9=5x+2 equation:


Simplifying
2(3x + -4) + 9 = 5x + 2

Reorder the terms:
2(-4 + 3x) + 9 = 5x + 2
(-4 * 2 + 3x * 2) + 9 = 5x + 2
(-8 + 6x) + 9 = 5x + 2

Reorder the terms:
-8 + 9 + 6x = 5x + 2

Combine like terms: -8 + 9 = 1
1 + 6x = 5x + 2

Reorder the terms:
1 + 6x = 2 + 5x

Solving
1 + 6x = 2 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1 + 6x + -5x = 2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
1 + 1x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
1 + 1x = 2 + 0
1 + 1x = 2

Add '-1' to each side of the equation.
1 + -1 + 1x = 2 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 2 + -1
1x = 2 + -1

Combine like terms: 2 + -1 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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