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

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


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

Reorder the terms:
7 + 2(-5 + x) = 5(x + 3) + -2
7 + (-5 * 2 + x * 2) = 5(x + 3) + -2
7 + (-10 + 2x) = 5(x + 3) + -2

Combine like terms: 7 + -10 = -3
-3 + 2x = 5(x + 3) + -2

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

Reorder the terms:
-3 + 2x = 15 + -2 + 5x

Combine like terms: 15 + -2 = 13
-3 + 2x = 13 + 5x

Solving
-3 + 2x = 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.
-3 + 2x + -5x = 13 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-3 + -3x = 13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + -3x = 13 + 0
-3 + -3x = 13

Add '3' to each side of the equation.
-3 + 3 + -3x = 13 + 3

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

Combine like terms: 13 + 3 = 16
-3x = 16

Divide each side by '-3'.
x = -5.333333333

Simplifying
x = -5.333333333

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