10x-5=3(x-2)

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Solution for 10x-5=3(x-2) equation:


Simplifying
10x + -5 = 3(x + -2)

Reorder the terms:
-5 + 10x = 3(x + -2)

Reorder the terms:
-5 + 10x = 3(-2 + x)
-5 + 10x = (-2 * 3 + x * 3)
-5 + 10x = (-6 + 3x)

Solving
-5 + 10x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 10x + -3x = -6 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-5 + 7x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 7x = -6 + 0
-5 + 7x = -6

Add '5' to each side of the equation.
-5 + 5 + 7x = -6 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = -6 + 5
7x = -6 + 5

Combine like terms: -6 + 5 = -1
7x = -1

Divide each side by '7'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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