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

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


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

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

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

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

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

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

Reorder the terms:
-5 + 4x = -3 + 4x + -1x

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

Solving
-5 + 4x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 4x + -3x = -3 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
-5 + 1x = -3 + 0
-5 + 1x = -3

Add '5' to each side of the equation.
-5 + 5 + 1x = -3 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -3 + 5
1x = -3 + 5

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

Divide each side by '1'.
x = 2

Simplifying
x = 2

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