3x-4+x=5-(2x+7)

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Solution for 3x-4+x=5-(2x+7) equation:


Simplifying
3x + -4 + x = 5 + -1(2x + 7)

Reorder the terms:
-4 + 3x + x = 5 + -1(2x + 7)

Combine like terms: 3x + x = 4x
-4 + 4x = 5 + -1(2x + 7)

Reorder the terms:
-4 + 4x = 5 + -1(7 + 2x)
-4 + 4x = 5 + (7 * -1 + 2x * -1)
-4 + 4x = 5 + (-7 + -2x)

Combine like terms: 5 + -7 = -2
-4 + 4x = -2 + -2x

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

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

Combine like terms: -2x + 2x = 0
-4 + 6x = -2 + 0
-4 + 6x = -2

Add '4' to each side of the equation.
-4 + 4 + 6x = -2 + 4

Combine like terms: -4 + 4 = 0
0 + 6x = -2 + 4
6x = -2 + 4

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

Divide each side by '6'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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