6x-25=-7(x-2)

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Solution for 6x-25=-7(x-2) equation:


Simplifying
6x + -25 = -7(x + -2)

Reorder the terms:
-25 + 6x = -7(x + -2)

Reorder the terms:
-25 + 6x = -7(-2 + x)
-25 + 6x = (-2 * -7 + x * -7)
-25 + 6x = (14 + -7x)

Solving
-25 + 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.
-25 + 6x + 7x = 14 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-25 + 13x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
-25 + 13x = 14 + 0
-25 + 13x = 14

Add '25' to each side of the equation.
-25 + 25 + 13x = 14 + 25

Combine like terms: -25 + 25 = 0
0 + 13x = 14 + 25
13x = 14 + 25

Combine like terms: 14 + 25 = 39
13x = 39

Divide each side by '13'.
x = 3

Simplifying
x = 3

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