10x-2=4(3x-5)

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Solution for 10x-2=4(3x-5) equation:


Simplifying
10x + -2 = 4(3x + -5)

Reorder the terms:
-2 + 10x = 4(3x + -5)

Reorder the terms:
-2 + 10x = 4(-5 + 3x)
-2 + 10x = (-5 * 4 + 3x * 4)
-2 + 10x = (-20 + 12x)

Solving
-2 + 10x = -20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-2 + 10x + -12x = -20 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-2 + -2x = -20 + 12x + -12x

Combine like terms: 12x + -12x = 0
-2 + -2x = -20 + 0
-2 + -2x = -20

Add '2' to each side of the equation.
-2 + 2 + -2x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = -20 + 2
-2x = -20 + 2

Combine like terms: -20 + 2 = -18
-2x = -18

Divide each side by '-2'.
x = 9

Simplifying
x = 9

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