3x-(1-x)=4+2(x+3)

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Solution for 3x-(1-x)=4+2(x+3) equation:


Simplifying
3x + -1(1 + -1x) = 4 + 2(x + 3)
3x + (1 * -1 + -1x * -1) = 4 + 2(x + 3)
3x + (-1 + 1x) = 4 + 2(x + 3)

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

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

Reorder the terms:
-1 + 4x = 4 + 2(3 + x)
-1 + 4x = 4 + (3 * 2 + x * 2)
-1 + 4x = 4 + (6 + 2x)

Combine like terms: 4 + 6 = 10
-1 + 4x = 10 + 2x

Solving
-1 + 4x = 10 + 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.
-1 + 4x + -2x = 10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-1 + 2x = 10 + 0
-1 + 2x = 10

Add '1' to each side of the equation.
-1 + 1 + 2x = 10 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 10 + 1
2x = 10 + 1

Combine like terms: 10 + 1 = 11
2x = 11

Divide each side by '2'.
x = 5.5

Simplifying
x = 5.5

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