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

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


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

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

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

Reorder the terms:
10 + 3x = 2(-3 + x) + 7(x + -2)
10 + 3x = (-3 * 2 + x * 2) + 7(x + -2)
10 + 3x = (-6 + 2x) + 7(x + -2)

Reorder the terms:
10 + 3x = -6 + 2x + 7(-2 + x)
10 + 3x = -6 + 2x + (-2 * 7 + x * 7)
10 + 3x = -6 + 2x + (-14 + 7x)

Reorder the terms:
10 + 3x = -6 + -14 + 2x + 7x

Combine like terms: -6 + -14 = -20
10 + 3x = -20 + 2x + 7x

Combine like terms: 2x + 7x = 9x
10 + 3x = -20 + 9x

Solving
10 + 3x = -20 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
10 + 3x + -9x = -20 + 9x + -9x

Combine like terms: 3x + -9x = -6x
10 + -6x = -20 + 9x + -9x

Combine like terms: 9x + -9x = 0
10 + -6x = -20 + 0
10 + -6x = -20

Add '-10' to each side of the equation.
10 + -10 + -6x = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -6x = -20 + -10
-6x = -20 + -10

Combine like terms: -20 + -10 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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