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

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


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

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

Reorder the terms for easier multiplication:
2 * 2(3 + x) = 5(x + 3) + -2

Multiply 2 * 2
4(3 + x) = 5(x + 3) + -2
(3 * 4 + x * 4) = 5(x + 3) + -2
(12 + 4x) = 5(x + 3) + -2

Reorder the terms:
12 + 4x = 5(3 + x) + -2
12 + 4x = (3 * 5 + x * 5) + -2
12 + 4x = (15 + 5x) + -2

Reorder the terms:
12 + 4x = 15 + -2 + 5x

Combine like terms: 15 + -2 = 13
12 + 4x = 13 + 5x

Solving
12 + 4x = 13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 4x + -5x = 13 + 5x + -5x

Combine like terms: 4x + -5x = -1x
12 + -1x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -1x = 13 + 0
12 + -1x = 13

Add '-12' to each side of the equation.
12 + -12 + -1x = 13 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 13 + -12
-1x = 13 + -12

Combine like terms: 13 + -12 = 1
-1x = 1

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

Simplifying
x = -1

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