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

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


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

Combine like terms: 3 + -3 = 0
3(0) + -1 = 5(2 + -1x) + -5x + -2

Multiply 3 * 0
0 + -1 = 5(2 + -1x) + -5x + -2

Anything times zero is zero.
0 + -1 = 5(2 + -1x) + -5x + -2

Combine like terms: 0 + -1 = -1
-1 = 5(2 + -1x) + -5x + -2
-1 = (2 * 5 + -1x * 5) + -5x + -2
-1 = (10 + -5x) + -5x + -2

Reorder the terms:
-1 = 10 + -2 + -5x + -5x

Combine like terms: 10 + -2 = 8
-1 = 8 + -5x + -5x

Combine like terms: -5x + -5x = -10x
-1 = 8 + -10x

Solving
-1 = 8 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-1 + 10x = 8 + -10x + 10x

Combine like terms: -10x + 10x = 0
-1 + 10x = 8 + 0
-1 + 10x = 8

Add '1' to each side of the equation.
-1 + 1 + 10x = 8 + 1

Combine like terms: -1 + 1 = 0
0 + 10x = 8 + 1
10x = 8 + 1

Combine like terms: 8 + 1 = 9
10x = 9

Divide each side by '10'.
x = 0.9

Simplifying
x = 0.9

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