70x+90(350-x)=78(350)

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Solution for 70x+90(350-x)=78(350) equation:


Simplifying
70x + 90(350 + -1x) = 78(350)
70x + (350 * 90 + -1x * 90) = 78(350)
70x + (31500 + -90x) = 78(350)

Reorder the terms:
31500 + 70x + -90x = 78(350)

Combine like terms: 70x + -90x = -20x
31500 + -20x = 78(350)

Multiply 78 * 350
31500 + -20x = 27300

Solving
31500 + -20x = 27300

Solving for variable 'x'.

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

Add '-31500' to each side of the equation.
31500 + -31500 + -20x = 27300 + -31500

Combine like terms: 31500 + -31500 = 0
0 + -20x = 27300 + -31500
-20x = 27300 + -31500

Combine like terms: 27300 + -31500 = -4200
-20x = -4200

Divide each side by '-20'.
x = 210

Simplifying
x = 210

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