3(x+2)-5=5x-3x+15

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Solution for 3(x+2)-5=5x-3x+15 equation:


Simplifying
3(x + 2) + -5 = 5x + -3x + 15

Reorder the terms:
3(2 + x) + -5 = 5x + -3x + 15
(2 * 3 + x * 3) + -5 = 5x + -3x + 15
(6 + 3x) + -5 = 5x + -3x + 15

Reorder the terms:
6 + -5 + 3x = 5x + -3x + 15

Combine like terms: 6 + -5 = 1
1 + 3x = 5x + -3x + 15

Reorder the terms:
1 + 3x = 15 + 5x + -3x

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

Solving
1 + 3x = 15 + 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.
1 + 3x + -2x = 15 + 2x + -2x

Combine like terms: 3x + -2x = 1x
1 + 1x = 15 + 2x + -2x

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

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

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

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

Divide each side by '1'.
x = 14

Simplifying
x = 14

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