7(x+40)=9(x-2)

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Solution for 7(x+40)=9(x-2) equation:


Simplifying
7(x + 40) = 9(x + -2)

Reorder the terms:
7(40 + x) = 9(x + -2)
(40 * 7 + x * 7) = 9(x + -2)
(280 + 7x) = 9(x + -2)

Reorder the terms:
280 + 7x = 9(-2 + x)
280 + 7x = (-2 * 9 + x * 9)
280 + 7x = (-18 + 9x)

Solving
280 + 7x = -18 + 9x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9x' to each side of the equation.
280 + 7x + -9x = -18 + 9x + -9x

Combine like terms: 7x + -9x = -2x
280 + -2x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
280 + -2x = -18 + 0
280 + -2x = -18

Add '-280' to each side of the equation.
280 + -280 + -2x = -18 + -280

Combine like terms: 280 + -280 = 0
0 + -2x = -18 + -280
-2x = -18 + -280

Combine like terms: -18 + -280 = -298
-2x = -298

Divide each side by '-2'.
x = 149

Simplifying
x = 149

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