5x-3(2x-3)=17-2(x+1)

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Solution for 5x-3(2x-3)=17-2(x+1) equation:


Simplifying
5x + -3(2x + -3) = 17 + -2(x + 1)

Reorder the terms:
5x + -3(-3 + 2x) = 17 + -2(x + 1)
5x + (-3 * -3 + 2x * -3) = 17 + -2(x + 1)
5x + (9 + -6x) = 17 + -2(x + 1)

Reorder the terms:
9 + 5x + -6x = 17 + -2(x + 1)

Combine like terms: 5x + -6x = -1x
9 + -1x = 17 + -2(x + 1)

Reorder the terms:
9 + -1x = 17 + -2(1 + x)
9 + -1x = 17 + (1 * -2 + x * -2)
9 + -1x = 17 + (-2 + -2x)

Combine like terms: 17 + -2 = 15
9 + -1x = 15 + -2x

Solving
9 + -1x = 15 + -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.
9 + -1x + 2x = 15 + -2x + 2x

Combine like terms: -1x + 2x = 1x
9 + 1x = 15 + -2x + 2x

Combine like terms: -2x + 2x = 0
9 + 1x = 15 + 0
9 + 1x = 15

Add '-9' to each side of the equation.
9 + -9 + 1x = 15 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 15 + -9
1x = 15 + -9

Combine like terms: 15 + -9 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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