10(x-3)=2(x-3)

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Solution for 10(x-3)=2(x-3) equation:


Simplifying
10(x + -3) = 2(x + -3)

Reorder the terms:
10(-3 + x) = 2(x + -3)
(-3 * 10 + x * 10) = 2(x + -3)
(-30 + 10x) = 2(x + -3)

Reorder the terms:
-30 + 10x = 2(-3 + x)
-30 + 10x = (-3 * 2 + x * 2)
-30 + 10x = (-6 + 2x)

Solving
-30 + 10x = -6 + 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.
-30 + 10x + -2x = -6 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-30 + 8x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-30 + 8x = -6 + 0
-30 + 8x = -6

Add '30' to each side of the equation.
-30 + 30 + 8x = -6 + 30

Combine like terms: -30 + 30 = 0
0 + 8x = -6 + 30
8x = -6 + 30

Combine like terms: -6 + 30 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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