2(x+5)+x=2(x-1)+2(x+4)

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Solution for 2(x+5)+x=2(x-1)+2(x+4) equation:


Simplifying
2(x + 5) + x = 2(x + -1) + 2(x + 4)

Reorder the terms:
2(5 + x) + x = 2(x + -1) + 2(x + 4)
(5 * 2 + x * 2) + x = 2(x + -1) + 2(x + 4)
(10 + 2x) + x = 2(x + -1) + 2(x + 4)

Combine like terms: 2x + x = 3x
10 + 3x = 2(x + -1) + 2(x + 4)

Reorder the terms:
10 + 3x = 2(-1 + x) + 2(x + 4)
10 + 3x = (-1 * 2 + x * 2) + 2(x + 4)
10 + 3x = (-2 + 2x) + 2(x + 4)

Reorder the terms:
10 + 3x = -2 + 2x + 2(4 + x)
10 + 3x = -2 + 2x + (4 * 2 + x * 2)
10 + 3x = -2 + 2x + (8 + 2x)

Reorder the terms:
10 + 3x = -2 + 8 + 2x + 2x

Combine like terms: -2 + 8 = 6
10 + 3x = 6 + 2x + 2x

Combine like terms: 2x + 2x = 4x
10 + 3x = 6 + 4x

Solving
10 + 3x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 3x + -4x = 6 + 4x + -4x

Combine like terms: 3x + -4x = -1x
10 + -1x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -1x = 6 + 0
10 + -1x = 6

Add '-10' to each side of the equation.
10 + -10 + -1x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 6 + -10
-1x = 6 + -10

Combine like terms: 6 + -10 = -4
-1x = -4

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

Simplifying
x = 4

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