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

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Solution for (-x+3)-(7-4x)=5x+2(x+1) equation:


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

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

Remove parenthesis around (3 + -1x)
3 + -1x + -1(7 + -4x) = 5x + 2(x + 1)
3 + -1x + (7 * -1 + -4x * -1) = 5x + 2(x + 1)
3 + -1x + (-7 + 4x) = 5x + 2(x + 1)

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

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

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

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

Reorder the terms:
-4 + 3x = 2 + 5x + 2x

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

Solving
-4 + 3x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + 3x + -7x = 2 + 7x + -7x

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

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

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

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

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

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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