6(x-3)-13(x-2)=1

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Solution for 6(x-3)-13(x-2)=1 equation: 


Simplifying
6(x + -3) + -13(x + -2) = 1

Reorder the terms:
6(-3 + x) + -13(x + -2) = 1
(-3 * 6 + x * 6) + -13(x + -2) = 1
(-18 + 6x) + -13(x + -2) = 1

Reorder the terms:
-18 + 6x + -13(-2 + x) = 1
-18 + 6x + (-2 * -13 + x * -13) = 1
-18 + 6x + (26 + -13x) = 1

Reorder the terms:
-18 + 26 + 6x + -13x = 1

Combine like terms: -18 + 26 = 8
8 + 6x + -13x = 1

Combine like terms: 6x + -13x = -7x
8 + -7x = 1

Solving
8 + -7x = 1

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -7x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 1 + -8
-7x = 1 + -8

Combine like terms: 1 + -8 = -7
-7x = -7

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

Simplifying
x = 1

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