3(m-1)+4(x-2)=10

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Solution for 3(m-1)+4(x-2)=10 equation: 


Simplifying
3(m + -1) + 4(x + -2) = 10

Reorder the terms:
3(-1 + m) + 4(x + -2) = 10
(-1 * 3 + m * 3) + 4(x + -2) = 10
(-3 + 3m) + 4(x + -2) = 10

Reorder the terms:
-3 + 3m + 4(-2 + x) = 10
-3 + 3m + (-2 * 4 + x * 4) = 10
-3 + 3m + (-8 + 4x) = 10

Reorder the terms:
-3 + -8 + 3m + 4x = 10

Combine like terms: -3 + -8 = -11
-11 + 3m + 4x = 10

Solving
-11 + 3m + 4x = 10

Solving for variable 'm'.

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

Add '11' to each side of the equation.
-11 + 3m + 11 + 4x = 10 + 11

Reorder the terms:
-11 + 11 + 3m + 4x = 10 + 11

Combine like terms: -11 + 11 = 0
0 + 3m + 4x = 10 + 11
3m + 4x = 10 + 11

Combine like terms: 10 + 11 = 21
3m + 4x = 21

Add '-4x' to each side of the equation.
3m + 4x + -4x = 21 + -4x

Combine like terms: 4x + -4x = 0
3m + 0 = 21 + -4x
3m = 21 + -4x

Divide each side by '3'.
m = 7 + -1.333333333x

Simplifying
m = 7 + -1.333333333x

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