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

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


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

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

Combine like terms: 5 + -8 = -3
-3 + 6x = 2x + 9

Reorder the terms:
-3 + 6x = 9 + 2x

Solving
-3 + 6x = 9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 6x + -2x = 9 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-3 + 4x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 4x = 9 + 0
-3 + 4x = 9

Add '3' to each side of the equation.
-3 + 3 + 4x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 9 + 3
4x = 9 + 3

Combine like terms: 9 + 3 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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