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

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


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

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

Remove parenthesis around (10 + 3x)
3 + 10 + 3x = 2 + (2x + 5)

Combine like terms: 3 + 10 = 13
13 + 3x = 2 + (2x + 5)

Reorder the terms:
13 + 3x = 2 + (5 + 2x)

Remove parenthesis around (5 + 2x)
13 + 3x = 2 + 5 + 2x

Combine like terms: 2 + 5 = 7
13 + 3x = 7 + 2x

Solving
13 + 3x = 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.
13 + 3x + -2x = 7 + 2x + -2x

Combine like terms: 3x + -2x = 1x
13 + 1x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
13 + 1x = 7 + 0
13 + 1x = 7

Add '-13' to each side of the equation.
13 + -13 + 1x = 7 + -13

Combine like terms: 13 + -13 = 0
0 + 1x = 7 + -13
1x = 7 + -13

Combine like terms: 7 + -13 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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