3(x-5)=-2-7x

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Solution for 3(x-5)=-2-7x equation:


Simplifying
3(x + -5) = -2 + -7x

Reorder the terms:
3(-5 + x) = -2 + -7x
(-5 * 3 + x * 3) = -2 + -7x
(-15 + 3x) = -2 + -7x

Solving
-15 + 3x = -2 + -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 = -2 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-15 + 10x = -2 + -7x + 7x

Combine like terms: -7x + 7x = 0
-15 + 10x = -2 + 0
-15 + 10x = -2

Add '15' to each side of the equation.
-15 + 15 + 10x = -2 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = -2 + 15
10x = -2 + 15

Combine like terms: -2 + 15 = 13
10x = 13

Divide each side by '10'.
x = 1.3

Simplifying
x = 1.3

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