3(x-2)+1=4x-6

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Solution for 3(x-2)+1=4x-6 equation:


Simplifying
3(x + -2) + 1 = 4x + -6

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

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

Combine like terms: -6 + 1 = -5
-5 + 3x = 4x + -6

Reorder the terms:
-5 + 3x = -6 + 4x

Solving
-5 + 3x = -6 + 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.
-5 + 3x + -4x = -6 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-5 + -1x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-5 + -1x = -6 + 0
-5 + -1x = -6

Add '5' to each side of the equation.
-5 + 5 + -1x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -6 + 5
-1x = -6 + 5

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

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

Simplifying
x = 1

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