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

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


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

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

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

Reorder the terms:
7 + 2x = 3(-3 + x)
7 + 2x = (-3 * 3 + x * 3)
7 + 2x = (-9 + 3x)

Solving
7 + 2x = -9 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
7 + 2x + -3x = -9 + 3x + -3x

Combine like terms: 2x + -3x = -1x
7 + -1x = -9 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -1x = -9 + 0
7 + -1x = -9

Add '-7' to each side of the equation.
7 + -7 + -1x = -9 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = -9 + -7
-1x = -9 + -7

Combine like terms: -9 + -7 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16

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