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

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


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

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

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

Reorder the terms:
-5 + 4x = 1 + x

Solving
-5 + 4x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-5 + 4x + -1x = 1 + x + -1x

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

Combine like terms: x + -1x = 0
-5 + 3x = 1 + 0
-5 + 3x = 1

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

Combine like terms: -5 + 5 = 0
0 + 3x = 1 + 5
3x = 1 + 5

Combine like terms: 1 + 5 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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