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

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


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

Reorder the terms:
3(-2 + x) + 1 = 3x + -5(3 + -1x)
(-2 * 3 + x * 3) + 1 = 3x + -5(3 + -1x)
(-6 + 3x) + 1 = 3x + -5(3 + -1x)

Reorder the terms:
-6 + 1 + 3x = 3x + -5(3 + -1x)

Combine like terms: -6 + 1 = -5
-5 + 3x = 3x + -5(3 + -1x)
-5 + 3x = 3x + (3 * -5 + -1x * -5)
-5 + 3x = 3x + (-15 + 5x)

Reorder the terms:
-5 + 3x = -15 + 3x + 5x

Combine like terms: 3x + 5x = 8x
-5 + 3x = -15 + 8x

Solving
-5 + 3x = -15 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-5 + 3x + -8x = -15 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-5 + -5x = -15 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -5x = -15 + 0
-5 + -5x = -15

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

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

Combine like terms: -15 + 5 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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