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

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


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

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

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

Combine like terms: -6 + 1 = -5
-5 + 3x = x + 2(4 + -1x)
-5 + 3x = x + (4 * 2 + -1x * 2)
-5 + 3x = x + (8 + -2x)

Reorder the terms:
-5 + 3x = 8 + x + -2x

Combine like terms: x + -2x = -1x
-5 + 3x = 8 + -1x

Solving
-5 + 3x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + 3x + x = 8 + -1x + x

Combine like terms: 3x + x = 4x
-5 + 4x = 8 + -1x + x

Combine like terms: -1x + x = 0
-5 + 4x = 8 + 0
-5 + 4x = 8

Add '5' to each side of the equation.
-5 + 5 + 4x = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 8 + 5
4x = 8 + 5

Combine like terms: 8 + 5 = 13
4x = 13

Divide each side by '4'.
x = 3.25

Simplifying
x = 3.25

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