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

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


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

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

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

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

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

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

Solving
-2 + -1x = 4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + -1x + -4x = 4 + 4x + -4x

Combine like terms: -1x + -4x = -5x
-2 + -5x = 4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -5x = 4 + 0
-2 + -5x = 4

Add '2' to each side of the equation.
-2 + 2 + -5x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + -5x = 4 + 2
-5x = 4 + 2

Combine like terms: 4 + 2 = 6
-5x = 6

Divide each side by '-5'.
x = -1.2

Simplifying
x = -1.2

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