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

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


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

Reorder the terms:
3(-5 + x) = -2x + -5x + 17
(-5 * 3 + x * 3) = -2x + -5x + 17
(-15 + 3x) = -2x + -5x + 17

Reorder the terms:
-15 + 3x = 17 + -2x + -5x

Combine like terms: -2x + -5x = -7x
-15 + 3x = 17 + -7x

Solving
-15 + 3x = 17 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-15 + 3x + 7x = 17 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-15 + 10x = 17 + -7x + 7x

Combine like terms: -7x + 7x = 0
-15 + 10x = 17 + 0
-15 + 10x = 17

Add '15' to each side of the equation.
-15 + 15 + 10x = 17 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = 17 + 15
10x = 17 + 15

Combine like terms: 17 + 15 = 32
10x = 32

Divide each side by '10'.
x = 3.2

Simplifying
x = 3.2

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