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

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


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

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

Reorder the terms:
15 + -6x = -7(-2 + x)
15 + -6x = (-2 * -7 + x * -7)
15 + -6x = (14 + -7x)

Solving
15 + -6x = 14 + -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 = 14 + -7x + 7x

Combine like terms: -6x + 7x = 1x
15 + 1x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
15 + 1x = 14 + 0
15 + 1x = 14

Add '-15' to each side of the equation.
15 + -15 + 1x = 14 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 14 + -15
1x = 14 + -15

Combine like terms: 14 + -15 = -1
1x = -1

Divide each side by '1'.
x = -1

Simplifying
x = -1

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