x+(2x-1)=7-3(x+1)

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Solution for x+(2x-1)=7-3(x+1) equation:


Simplifying
x + (2x + -1) = 7 + -3(x + 1)

Reorder the terms:
x + (-1 + 2x) = 7 + -3(x + 1)

Remove parenthesis around (-1 + 2x)
x + -1 + 2x = 7 + -3(x + 1)

Reorder the terms:
-1 + x + 2x = 7 + -3(x + 1)

Combine like terms: x + 2x = 3x
-1 + 3x = 7 + -3(x + 1)

Reorder the terms:
-1 + 3x = 7 + -3(1 + x)
-1 + 3x = 7 + (1 * -3 + x * -3)
-1 + 3x = 7 + (-3 + -3x)

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

Solving
-1 + 3x = 4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-1 + 3x + 3x = 4 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-1 + 6x = 4 + 0
-1 + 6x = 4

Add '1' to each side of the equation.
-1 + 1 + 6x = 4 + 1

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

Combine like terms: 4 + 1 = 5
6x = 5

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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