3(x+5)=2(x-3)+7

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Solution for 3(x+5)=2(x-3)+7 equation: 


Simplifying
3(x + 5) = 2(x + -3) + 7

Reorder the terms:
3(5 + x) = 2(x + -3) + 7
(5 * 3 + x * 3) = 2(x + -3) + 7
(15 + 3x) = 2(x + -3) + 7

Reorder the terms:
15 + 3x = 2(-3 + x) + 7
15 + 3x = (-3 * 2 + x * 2) + 7
15 + 3x = (-6 + 2x) + 7

Reorder the terms:
15 + 3x = -6 + 7 + 2x

Combine like terms: -6 + 7 = 1
15 + 3x = 1 + 2x

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

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

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

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

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

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

Divide each side by '1'.
x = -14

Simplifying
x = -14

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