mx+3(mx-12)+14=11(x-2)+5x

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Solution for mx+3(mx-12)+14=11(x-2)+5x equation:


Simplifying
mx + 3(mx + -12) + 14 = 11(x + -2) + 5x

Reorder the terms:
mx + 3(-12 + mx) + 14 = 11(x + -2) + 5x
mx + (-12 * 3 + mx * 3) + 14 = 11(x + -2) + 5x
mx + (-36 + 3mx) + 14 = 11(x + -2) + 5x

Reorder the terms:
-36 + 14 + mx + 3mx = 11(x + -2) + 5x

Combine like terms: -36 + 14 = -22
-22 + mx + 3mx = 11(x + -2) + 5x

Combine like terms: mx + 3mx = 4mx
-22 + 4mx = 11(x + -2) + 5x

Reorder the terms:
-22 + 4mx = 11(-2 + x) + 5x
-22 + 4mx = (-2 * 11 + x * 11) + 5x
-22 + 4mx = (-22 + 11x) + 5x

Combine like terms: 11x + 5x = 16x
-22 + 4mx = -22 + 16x

Add '22' to each side of the equation.
-22 + 22 + 4mx = -22 + 22 + 16x

Combine like terms: -22 + 22 = 0
0 + 4mx = -22 + 22 + 16x
4mx = -22 + 22 + 16x

Combine like terms: -22 + 22 = 0
4mx = 0 + 16x
4mx = 16x

Solving
4mx = 16x

Solving for variable 'm'.

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

Divide each side by '4x'.
m = 4

Simplifying
m = 4

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