10=3(x-3)-(x-5)

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Solution for 10=3(x-3)-(x-5) equation: 


Simplifying
10 = 3(x + -3) + -1(x + -5)

Reorder the terms:
10 = 3(-3 + x) + -1(x + -5)
10 = (-3 * 3 + x * 3) + -1(x + -5)
10 = (-9 + 3x) + -1(x + -5)

Reorder the terms:
10 = -9 + 3x + -1(-5 + x)
10 = -9 + 3x + (-5 * -1 + x * -1)
10 = -9 + 3x + (5 + -1x)

Reorder the terms:
10 = -9 + 5 + 3x + -1x

Combine like terms: -9 + 5 = -4
10 = -4 + 3x + -1x

Combine like terms: 3x + -1x = 2x
10 = -4 + 2x

Solving
10 = -4 + 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.
10 + -2x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + -2x = -4 + 0
10 + -2x = -4

Add '-10' to each side of the equation.
10 + -10 + -2x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -4 + -10
-2x = -4 + -10

Combine like terms: -4 + -10 = -14
-2x = -14

Divide each side by '-2'.
x = 7

Simplifying
x = 7

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