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

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


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

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

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

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

Combine like terms: -6 + 1 = -5
-1 + 4x = -5 + 2x

Solving
-1 + 4x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 4x + -2x = -5 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-1 + 2x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 2x = -5 + 0
-1 + 2x = -5

Add '1' to each side of the equation.
-1 + 1 + 2x = -5 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = -5 + 1
2x = -5 + 1

Combine like terms: -5 + 1 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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