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

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


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

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

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

Solving
4 + -1x = -6 + 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.
4 + -1x + -3x = -6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + -4x = -6 + 0
4 + -4x = -6

Add '-4' to each side of the equation.
4 + -4 + -4x = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -6 + -4
-4x = -6 + -4

Combine like terms: -6 + -4 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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