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

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


Simplifying
3x + 9 + 2(3 + -1x) = 4 + 2(x + 5)
3x + 9 + (3 * 2 + -1x * 2) = 4 + 2(x + 5)
3x + 9 + (6 + -2x) = 4 + 2(x + 5)

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

Combine like terms: 9 + 6 = 15
15 + 3x + -2x = 4 + 2(x + 5)

Combine like terms: 3x + -2x = 1x
15 + 1x = 4 + 2(x + 5)

Reorder the terms:
15 + 1x = 4 + 2(5 + x)
15 + 1x = 4 + (5 * 2 + x * 2)
15 + 1x = 4 + (10 + 2x)

Combine like terms: 4 + 10 = 14
15 + 1x = 14 + 2x

Solving
15 + 1x = 14 + 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.
15 + 1x + -2x = 14 + 2x + -2x

Combine like terms: 1x + -2x = -1x
15 + -1x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -1x = 14 + 0
15 + -1x = 14

Add '-15' to each side of the equation.
15 + -15 + -1x = 14 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 14 + -15
-1x = 14 + -15

Combine like terms: 14 + -15 = -1
-1x = -1

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

Simplifying
x = 1

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