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

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


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

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

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

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

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

Reorder the terms:
3 + 2x = -10 + 3x + 2x

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

Solving
3 + 2x = -10 + 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 = -10 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
3 + -3x = -10 + 0
3 + -3x = -10

Add '-3' to each side of the equation.
3 + -3 + -3x = -10 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = -10 + -3
-3x = -10 + -3

Combine like terms: -10 + -3 = -13
-3x = -13

Divide each side by '-3'.
x = 4.333333333

Simplifying
x = 4.333333333

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