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

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


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

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

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

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

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

Combine like terms: 2x + 3x = 5x
9 + 5x = 2x + 7

Reorder the terms:
9 + 5x = 7 + 2x

Solving
9 + 5x = 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.
9 + 5x + -2x = 7 + 2x + -2x

Combine like terms: 5x + -2x = 3x
9 + 3x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
9 + 3x = 7 + 0
9 + 3x = 7

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

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

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

Divide each side by '3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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