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

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


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

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

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

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

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

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

Solving
7 + -4x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + -4x + -1x = 5 + x + -1x

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

Combine like terms: x + -1x = 0
7 + -5x = 5 + 0
7 + -5x = 5

Add '-7' to each side of the equation.
7 + -7 + -5x = 5 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = 5 + -7
-5x = 5 + -7

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

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4

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