3(x-2)=4x+1

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


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

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

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

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

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

Combine like terms: 4x + -4x = 0
-6 + -1x = 1 + 0
-6 + -1x = 1

Add '6' to each side of the equation.
-6 + 6 + -1x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 1 + 6
-1x = 1 + 6

Combine like terms: 1 + 6 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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