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

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


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

Reorder the terms:
3(2 + x) + -5 = (2x + 7)
(2 * 3 + x * 3) + -5 = (2x + 7)
(6 + 3x) + -5 = (2x + 7)

Reorder the terms:
6 + -5 + 3x = (2x + 7)

Combine like terms: 6 + -5 = 1
1 + 3x = (2x + 7)

Reorder the terms:
1 + 3x = (7 + 2x)

Remove parenthesis around (7 + 2x)
1 + 3x = 7 + 2x

Solving
1 + 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.
1 + 3x + -2x = 7 + 2x + -2x

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

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

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

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

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

Divide each side by '1'.
x = 6

Simplifying
x = 6

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