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

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


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

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

Reorder the terms:
6 + 2x + -3(5 + x) = 3(x + -2) + -7
6 + 2x + (5 * -3 + x * -3) = 3(x + -2) + -7
6 + 2x + (-15 + -3x) = 3(x + -2) + -7

Reorder the terms:
6 + -15 + 2x + -3x = 3(x + -2) + -7

Combine like terms: 6 + -15 = -9
-9 + 2x + -3x = 3(x + -2) + -7

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

Reorder the terms:
-9 + -1x = 3(-2 + x) + -7
-9 + -1x = (-2 * 3 + x * 3) + -7
-9 + -1x = (-6 + 3x) + -7

Reorder the terms:
-9 + -1x = -6 + -7 + 3x

Combine like terms: -6 + -7 = -13
-9 + -1x = -13 + 3x

Solving
-9 + -1x = -13 + 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.
-9 + -1x + -3x = -13 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-9 + -4x = -13 + 3x + -3x

Combine like terms: 3x + -3x = 0
-9 + -4x = -13 + 0
-9 + -4x = -13

Add '9' to each side of the equation.
-9 + 9 + -4x = -13 + 9

Combine like terms: -9 + 9 = 0
0 + -4x = -13 + 9
-4x = -13 + 9

Combine like terms: -13 + 9 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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