2x+(x+5)-3=2(x-1)+6

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Solution for 2x+(x+5)-3=2(x-1)+6 equation:


Simplifying
2x + (x + 5) + -3 = 2(x + -1) + 6

Reorder the terms:
2x + (5 + x) + -3 = 2(x + -1) + 6

Remove parenthesis around (5 + x)
2x + 5 + x + -3 = 2(x + -1) + 6

Reorder the terms:
5 + -3 + 2x + x = 2(x + -1) + 6

Combine like terms: 5 + -3 = 2
2 + 2x + x = 2(x + -1) + 6

Combine like terms: 2x + x = 3x
2 + 3x = 2(x + -1) + 6

Reorder the terms:
2 + 3x = 2(-1 + x) + 6
2 + 3x = (-1 * 2 + x * 2) + 6
2 + 3x = (-2 + 2x) + 6

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

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

Solving
2 + 3x = 4 + 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.
2 + 3x + -2x = 4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
2 + 1x = 4 + 0
2 + 1x = 4

Add '-2' to each side of the equation.
2 + -2 + 1x = 4 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 4 + -2
1x = 4 + -2

Combine like terms: 4 + -2 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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