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

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


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

Reorder the terms:
3(-3 + 5x) + 3 = 3 + -2(x + -3)
(-3 * 3 + 5x * 3) + 3 = 3 + -2(x + -3)
(-9 + 15x) + 3 = 3 + -2(x + -3)

Reorder the terms:
-9 + 3 + 15x = 3 + -2(x + -3)

Combine like terms: -9 + 3 = -6
-6 + 15x = 3 + -2(x + -3)

Reorder the terms:
-6 + 15x = 3 + -2(-3 + x)
-6 + 15x = 3 + (-3 * -2 + x * -2)
-6 + 15x = 3 + (6 + -2x)

Combine like terms: 3 + 6 = 9
-6 + 15x = 9 + -2x

Solving
-6 + 15x = 9 + -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.
-6 + 15x + 2x = 9 + -2x + 2x

Combine like terms: 15x + 2x = 17x
-6 + 17x = 9 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 17x = 9 + 0
-6 + 17x = 9

Add '6' to each side of the equation.
-6 + 6 + 17x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 17x = 9 + 6
17x = 9 + 6

Combine like terms: 9 + 6 = 15
17x = 15

Divide each side by '17'.
x = 0.8823529412

Simplifying
x = 0.8823529412

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