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

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


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

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

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

Reorder the terms:
7 + 2x = 4(2 + x) + -5
7 + 2x = (2 * 4 + x * 4) + -5
7 + 2x = (8 + 4x) + -5

Reorder the terms:
7 + 2x = 8 + -5 + 4x

Combine like terms: 8 + -5 = 3
7 + 2x = 3 + 4x

Solving
7 + 2x = 3 + 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.
7 + 2x + -4x = 3 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
7 + -2x = 3 + 0
7 + -2x = 3

Add '-7' to each side of the equation.
7 + -7 + -2x = 3 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 3 + -7
-2x = 3 + -7

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

Divide each side by '-2'.
x = 2

Simplifying
x = 2

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