79x+90=9x-2(x-3)

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Solution for 79x+90=9x-2(x-3) equation:


Simplifying
79x + 90 = 9x + -2(x + -3)

Reorder the terms:
90 + 79x = 9x + -2(x + -3)

Reorder the terms:
90 + 79x = 9x + -2(-3 + x)
90 + 79x = 9x + (-3 * -2 + x * -2)
90 + 79x = 9x + (6 + -2x)

Reorder the terms:
90 + 79x = 6 + 9x + -2x

Combine like terms: 9x + -2x = 7x
90 + 79x = 6 + 7x

Solving
90 + 79x = 6 + 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.
90 + 79x + -7x = 6 + 7x + -7x

Combine like terms: 79x + -7x = 72x
90 + 72x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
90 + 72x = 6 + 0
90 + 72x = 6

Add '-90' to each side of the equation.
90 + -90 + 72x = 6 + -90

Combine like terms: 90 + -90 = 0
0 + 72x = 6 + -90
72x = 6 + -90

Combine like terms: 6 + -90 = -84
72x = -84

Divide each side by '72'.
x = -1.166666667

Simplifying
x = -1.166666667

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