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

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


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

Reorder the terms:
3(5 + x) = 2(x + 4) + -5
(5 * 3 + x * 3) = 2(x + 4) + -5
(15 + 3x) = 2(x + 4) + -5

Reorder the terms:
15 + 3x = 2(4 + x) + -5
15 + 3x = (4 * 2 + x * 2) + -5
15 + 3x = (8 + 2x) + -5

Reorder the terms:
15 + 3x = 8 + -5 + 2x

Combine like terms: 8 + -5 = 3
15 + 3x = 3 + 2x

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

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

Combine like terms: 2x + -2x = 0
15 + 1x = 3 + 0
15 + 1x = 3

Add '-15' to each side of the equation.
15 + -15 + 1x = 3 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 3 + -15
1x = 3 + -15

Combine like terms: 3 + -15 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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