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

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


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

Reorder the terms:
3(-3 + x) = 5(1 + -1x) + -1
(-3 * 3 + x * 3) = 5(1 + -1x) + -1
(-9 + 3x) = 5(1 + -1x) + -1
-9 + 3x = (1 * 5 + -1x * 5) + -1
-9 + 3x = (5 + -5x) + -1

Reorder the terms:
-9 + 3x = 5 + -1 + -5x

Combine like terms: 5 + -1 = 4
-9 + 3x = 4 + -5x

Solving
-9 + 3x = 4 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-9 + 3x + 5x = 4 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-9 + 8x = 4 + -5x + 5x

Combine like terms: -5x + 5x = 0
-9 + 8x = 4 + 0
-9 + 8x = 4

Add '9' to each side of the equation.
-9 + 9 + 8x = 4 + 9

Combine like terms: -9 + 9 = 0
0 + 8x = 4 + 9
8x = 4 + 9

Combine like terms: 4 + 9 = 13
8x = 13

Divide each side by '8'.
x = 1.625

Simplifying
x = 1.625

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