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

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


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

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

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

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

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

Solving
1 + -2x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
1 + -2x + -4x = -7 + 4x + -4x

Combine like terms: -2x + -4x = -6x
1 + -6x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -6x = -7 + 0
1 + -6x = -7

Add '-1' to each side of the equation.
1 + -1 + -6x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -6x = -7 + -1
-6x = -7 + -1

Combine like terms: -7 + -1 = -8
-6x = -8

Divide each side by '-6'.
x = 1.333333333

Simplifying
x = 1.333333333

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