4-(4x+m)=5(x+6)-2

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Solution for 4-(4x+m)=5(x+6)-2 equation:


Simplifying
4 + -1(4x + m) = 5(x + 6) + -2

Reorder the terms:
4 + -1(m + 4x) = 5(x + 6) + -2
4 + (m * -1 + 4x * -1) = 5(x + 6) + -2
4 + (-1m + -4x) = 5(x + 6) + -2

Reorder the terms:
4 + -1m + -4x = 5(6 + x) + -2
4 + -1m + -4x = (6 * 5 + x * 5) + -2
4 + -1m + -4x = (30 + 5x) + -2

Reorder the terms:
4 + -1m + -4x = 30 + -2 + 5x

Combine like terms: 30 + -2 = 28
4 + -1m + -4x = 28 + 5x

Solving
4 + -1m + -4x = 28 + 5x

Solving for variable 'm'.

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

Add '-4' to each side of the equation.
4 + -1m + -4 + -4x = 28 + -4 + 5x

Reorder the terms:
4 + -4 + -1m + -4x = 28 + -4 + 5x

Combine like terms: 4 + -4 = 0
0 + -1m + -4x = 28 + -4 + 5x
-1m + -4x = 28 + -4 + 5x

Combine like terms: 28 + -4 = 24
-1m + -4x = 24 + 5x

Add '4x' to each side of the equation.
-1m + -4x + 4x = 24 + 5x + 4x

Combine like terms: -4x + 4x = 0
-1m + 0 = 24 + 5x + 4x
-1m = 24 + 5x + 4x

Combine like terms: 5x + 4x = 9x
-1m = 24 + 9x

Divide each side by '-1'.
m = -24 + -9x

Simplifying
m = -24 + -9x

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