3(x+5)-10=2(x+1)

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Solution for 3(x+5)-10=2(x+1) equation:


Simplifying
3(x + 5) + -10 = 2(x + 1)

Reorder the terms:
3(5 + x) + -10 = 2(x + 1)
(5 * 3 + x * 3) + -10 = 2(x + 1)
(15 + 3x) + -10 = 2(x + 1)

Reorder the terms:
15 + -10 + 3x = 2(x + 1)

Combine like terms: 15 + -10 = 5
5 + 3x = 2(x + 1)

Reorder the terms:
5 + 3x = 2(1 + x)
5 + 3x = (1 * 2 + x * 2)
5 + 3x = (2 + 2x)

Solving
5 + 3x = 2 + 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.
5 + 3x + -2x = 2 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
5 + 1x = 2 + 0
5 + 1x = 2

Add '-5' to each side of the equation.
5 + -5 + 1x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 2 + -5
1x = 2 + -5

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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