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

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


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

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

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

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

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

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

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

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

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

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

Solving
4 + 1x = 1 + 5x

Solving for variable 'x'.

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

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

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

Combine like terms: 5x + -5x = 0
4 + -4x = 1 + 0
4 + -4x = 1

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

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

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