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

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


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

Reorder the terms:
4(-2 + x) = 3(x + 1) + 1 + -3x
(-2 * 4 + x * 4) = 3(x + 1) + 1 + -3x
(-8 + 4x) = 3(x + 1) + 1 + -3x

Reorder the terms:
-8 + 4x = 3(1 + x) + 1 + -3x
-8 + 4x = (1 * 3 + x * 3) + 1 + -3x
-8 + 4x = (3 + 3x) + 1 + -3x

Reorder the terms:
-8 + 4x = 3 + 1 + 3x + -3x

Combine like terms: 3 + 1 = 4
-8 + 4x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 4x = 4 + 0
-8 + 4x = 4

Solving
-8 + 4x = 4

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 4x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 4 + 8
4x = 4 + 8

Combine like terms: 4 + 8 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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