-9x+10=-7(x-4)

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Solution for -9x+10=-7(x-4) equation:


Simplifying
-9x + 10 = -7(x + -4)

Reorder the terms:
10 + -9x = -7(x + -4)

Reorder the terms:
10 + -9x = -7(-4 + x)
10 + -9x = (-4 * -7 + x * -7)
10 + -9x = (28 + -7x)

Solving
10 + -9x = 28 + -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 + -9x + 7x = 28 + -7x + 7x

Combine like terms: -9x + 7x = -2x
10 + -2x = 28 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + -2x = 28 + 0
10 + -2x = 28

Add '-10' to each side of the equation.
10 + -10 + -2x = 28 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 28 + -10
-2x = 28 + -10

Combine like terms: 28 + -10 = 18
-2x = 18

Divide each side by '-2'.
x = -9

Simplifying
x = -9

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