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

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


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

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

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

Reorder the terms:
15 + 5x = 2(5 + x) + -3
15 + 5x = (5 * 2 + x * 2) + -3
15 + 5x = (10 + 2x) + -3

Reorder the terms:
15 + 5x = 10 + -3 + 2x

Combine like terms: 10 + -3 = 7
15 + 5x = 7 + 2x

Solving
15 + 5x = 7 + 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 + 5x + -2x = 7 + 2x + -2x

Combine like terms: 5x + -2x = 3x
15 + 3x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + 3x = 7 + 0
15 + 3x = 7

Add '-15' to each side of the equation.
15 + -15 + 3x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 7 + -15
3x = 7 + -15

Combine like terms: 7 + -15 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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