10(x-2)=2x+3

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


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

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

Reorder the terms:
-20 + 10x = 3 + 2x

Solving
-20 + 10x = 3 + 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.
-20 + 10x + -2x = 3 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-20 + 8x = 3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 8x = 3 + 0
-20 + 8x = 3

Add '20' to each side of the equation.
-20 + 20 + 8x = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 8x = 3 + 20
8x = 3 + 20

Combine like terms: 3 + 20 = 23
8x = 23

Divide each side by '8'.
x = 2.875

Simplifying
x = 2.875

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