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

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


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

Reorder the terms:
3(-5 + 2x) = -7(x + 5)
(-5 * 3 + 2x * 3) = -7(x + 5)
(-15 + 6x) = -7(x + 5)

Reorder the terms:
-15 + 6x = -7(5 + x)
-15 + 6x = (5 * -7 + x * -7)
-15 + 6x = (-35 + -7x)

Solving
-15 + 6x = -35 + -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 + 6x + 7x = -35 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-15 + 13x = -35 + -7x + 7x

Combine like terms: -7x + 7x = 0
-15 + 13x = -35 + 0
-15 + 13x = -35

Add '15' to each side of the equation.
-15 + 15 + 13x = -35 + 15

Combine like terms: -15 + 15 = 0
0 + 13x = -35 + 15
13x = -35 + 15

Combine like terms: -35 + 15 = -20
13x = -20

Divide each side by '13'.
x = -1.538461538

Simplifying
x = -1.538461538

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