3(9-x)=7(6x+10)

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Solution for 3(9-x)=7(6x+10) equation:


Simplifying
3(9 + -1x) = 7(6x + 10)
(9 * 3 + -1x * 3) = 7(6x + 10)
(27 + -3x) = 7(6x + 10)

Reorder the terms:
27 + -3x = 7(10 + 6x)
27 + -3x = (10 * 7 + 6x * 7)
27 + -3x = (70 + 42x)

Solving
27 + -3x = 70 + 42x

Solving for variable 'x'.

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

Add '-42x' to each side of the equation.
27 + -3x + -42x = 70 + 42x + -42x

Combine like terms: -3x + -42x = -45x
27 + -45x = 70 + 42x + -42x

Combine like terms: 42x + -42x = 0
27 + -45x = 70 + 0
27 + -45x = 70

Add '-27' to each side of the equation.
27 + -27 + -45x = 70 + -27

Combine like terms: 27 + -27 = 0
0 + -45x = 70 + -27
-45x = 70 + -27

Combine like terms: 70 + -27 = 43
-45x = 43

Divide each side by '-45'.
x = -0.9555555556

Simplifying
x = -0.9555555556

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