2(x-10)=3(x+1)

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Solution for 2(x-10)=3(x+1) equation:


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

Reorder the terms:
2(-10 + x) = 3(x + 1)
(-10 * 2 + x * 2) = 3(x + 1)
(-20 + 2x) = 3(x + 1)

Reorder the terms:
-20 + 2x = 3(1 + x)
-20 + 2x = (1 * 3 + x * 3)
-20 + 2x = (3 + 3x)

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

Combine like terms: 2x + -3x = -1x
-20 + -1x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + -1x = 3 + 0
-20 + -1x = 3

Add '20' to each side of the equation.
-20 + 20 + -1x = 3 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = 3 + 20
-1x = 3 + 20

Combine like terms: 3 + 20 = 23
-1x = 23

Divide each side by '-1'.
x = -23

Simplifying
x = -23

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