3(x-5)=2(2-x)+1

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Solution for 3(x-5)=2(2-x)+1 equation:


Simplifying
3(x + -5) = 2(2 + -1x) + 1

Reorder the terms:
3(-5 + x) = 2(2 + -1x) + 1
(-5 * 3 + x * 3) = 2(2 + -1x) + 1
(-15 + 3x) = 2(2 + -1x) + 1
-15 + 3x = (2 * 2 + -1x * 2) + 1
-15 + 3x = (4 + -2x) + 1

Reorder the terms:
-15 + 3x = 4 + 1 + -2x

Combine like terms: 4 + 1 = 5
-15 + 3x = 5 + -2x

Solving
-15 + 3x = 5 + -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.
-15 + 3x + 2x = 5 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-15 + 5x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-15 + 5x = 5 + 0
-15 + 5x = 5

Add '15' to each side of the equation.
-15 + 15 + 5x = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 5 + 15
5x = 5 + 15

Combine like terms: 5 + 15 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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