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

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


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

Reorder the terms:
6(-3 + x) + -1 = 4x + 1
(-3 * 6 + x * 6) + -1 = 4x + 1
(-18 + 6x) + -1 = 4x + 1

Reorder the terms:
-18 + -1 + 6x = 4x + 1

Combine like terms: -18 + -1 = -19
-19 + 6x = 4x + 1

Reorder the terms:
-19 + 6x = 1 + 4x

Solving
-19 + 6x = 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.
-19 + 6x + -4x = 1 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-19 + 2x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-19 + 2x = 1 + 0
-19 + 2x = 1

Add '19' to each side of the equation.
-19 + 19 + 2x = 1 + 19

Combine like terms: -19 + 19 = 0
0 + 2x = 1 + 19
2x = 1 + 19

Combine like terms: 1 + 19 = 20
2x = 20

Divide each side by '2'.
x = 10

Simplifying
x = 10

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