5x-10=-7(x+1)

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Solution for 5x-10=-7(x+1) equation:


Simplifying
5x + -10 = -7(x + 1)

Reorder the terms:
-10 + 5x = -7(x + 1)

Reorder the terms:
-10 + 5x = -7(1 + x)
-10 + 5x = (1 * -7 + x * -7)
-10 + 5x = (-7 + -7x)

Solving
-10 + 5x = -7 + -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.
-10 + 5x + 7x = -7 + -7x + 7x

Combine like terms: 5x + 7x = 12x
-10 + 12x = -7 + -7x + 7x

Combine like terms: -7x + 7x = 0
-10 + 12x = -7 + 0
-10 + 12x = -7

Add '10' to each side of the equation.
-10 + 10 + 12x = -7 + 10

Combine like terms: -10 + 10 = 0
0 + 12x = -7 + 10
12x = -7 + 10

Combine like terms: -7 + 10 = 3
12x = 3

Divide each side by '12'.
x = 0.25

Simplifying
x = 0.25

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