14(x+m)=3(x+9)-10

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Solution for 14(x+m)=3(x+9)-10 equation: 


Simplifying
14(x + m) = 3(x + 9) + -10

Reorder the terms:
14(m + x) = 3(x + 9) + -10
(m * 14 + x * 14) = 3(x + 9) + -10
(14m + 14x) = 3(x + 9) + -10

Reorder the terms:
14m + 14x = 3(9 + x) + -10
14m + 14x = (9 * 3 + x * 3) + -10
14m + 14x = (27 + 3x) + -10

Reorder the terms:
14m + 14x = 27 + -10 + 3x

Combine like terms: 27 + -10 = 17
14m + 14x = 17 + 3x

Solving
14m + 14x = 17 + 3x

Solving for variable 'm'.

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

Add '-14x' to each side of the equation.
14m + 14x + -14x = 17 + 3x + -14x

Combine like terms: 14x + -14x = 0
14m + 0 = 17 + 3x + -14x
14m = 17 + 3x + -14x

Combine like terms: 3x + -14x = -11x
14m = 17 + -11x

Divide each side by '14'.
m = 1.214285714 + -0.7857142857x

Simplifying
m = 1.214285714 + -0.7857142857x

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