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

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


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

Reorder the terms:
6(-3 + x) + -2(x + -2) = 1
(-3 * 6 + x * 6) + -2(x + -2) = 1
(-18 + 6x) + -2(x + -2) = 1

Reorder the terms:
-18 + 6x + -2(-2 + x) = 1
-18 + 6x + (-2 * -2 + x * -2) = 1
-18 + 6x + (4 + -2x) = 1

Reorder the terms:
-18 + 4 + 6x + -2x = 1

Combine like terms: -18 + 4 = -14
-14 + 6x + -2x = 1

Combine like terms: 6x + -2x = 4x
-14 + 4x = 1

Solving
-14 + 4x = 1

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 4x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 4x = 1 + 14
4x = 1 + 14

Combine like terms: 1 + 14 = 15
4x = 15

Divide each side by '4'.
x = 3.75

Simplifying
x = 3.75

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