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

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


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

Reorder the terms:
4 + -3(2 + x) + 2 = 2x + -1(4x + 3)
4 + (2 * -3 + x * -3) + 2 = 2x + -1(4x + 3)
4 + (-6 + -3x) + 2 = 2x + -1(4x + 3)

Reorder the terms:
4 + -6 + 2 + -3x = 2x + -1(4x + 3)

Combine like terms: 4 + -6 = -2
-2 + 2 + -3x = 2x + -1(4x + 3)

Combine like terms: -2 + 2 = 0
0 + -3x = 2x + -1(4x + 3)
-3x = 2x + -1(4x + 3)

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

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

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

Solving
-3x = -3 + -2x

Solving for variable 'x'.

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

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

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

Combine like terms: -2x + 2x = 0
-1x = -3 + 0
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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