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

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


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

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

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

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

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

Solving
1 + 4x = 6 + 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 = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
1 + 2x = 6 + 0
1 + 2x = 6

Add '-1' to each side of the equation.
1 + -1 + 2x = 6 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 6 + -1
2x = 6 + -1

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

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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