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

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


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

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

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

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

Combine like terms: 6 + 1 = 7
1 + 3x = 7 + -1x

Solving
1 + 3x = 7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + 3x + x = 7 + -1x + x

Combine like terms: 3x + x = 4x
1 + 4x = 7 + -1x + x

Combine like terms: -1x + x = 0
1 + 4x = 7 + 0
1 + 4x = 7

Add '-1' to each side of the equation.
1 + -1 + 4x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 7 + -1
4x = 7 + -1

Combine like terms: 7 + -1 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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