13-3(x-1)=x-10

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Solution for 13-3(x-1)=x-10 equation: 


Simplifying
13 + -3(x + -1) = x + -10

Reorder the terms:
13 + -3(-1 + x) = x + -10
13 + (-1 * -3 + x * -3) = x + -10
13 + (3 + -3x) = x + -10

Combine like terms: 13 + 3 = 16
16 + -3x = x + -10

Reorder the terms:
16 + -3x = -10 + x

Solving
16 + -3x = -10 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
16 + -3x + -1x = -10 + x + -1x

Combine like terms: -3x + -1x = -4x
16 + -4x = -10 + x + -1x

Combine like terms: x + -1x = 0
16 + -4x = -10 + 0
16 + -4x = -10

Add '-16' to each side of the equation.
16 + -16 + -4x = -10 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = -10 + -16
-4x = -10 + -16

Combine like terms: -10 + -16 = -26
-4x = -26

Divide each side by '-4'.
x = 6.5

Simplifying
x = 6.5

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