5(m+4)+12=2(x-3)-1

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Solution for 5(m+4)+12=2(x-3)-1 equation:


Simplifying
5(m + 4) + 12 = 2(x + -3) + -1

Reorder the terms:
5(4 + m) + 12 = 2(x + -3) + -1
(4 * 5 + m * 5) + 12 = 2(x + -3) + -1
(20 + 5m) + 12 = 2(x + -3) + -1

Reorder the terms:
20 + 12 + 5m = 2(x + -3) + -1

Combine like terms: 20 + 12 = 32
32 + 5m = 2(x + -3) + -1

Reorder the terms:
32 + 5m = 2(-3 + x) + -1
32 + 5m = (-3 * 2 + x * 2) + -1
32 + 5m = (-6 + 2x) + -1

Reorder the terms:
32 + 5m = -6 + -1 + 2x

Combine like terms: -6 + -1 = -7
32 + 5m = -7 + 2x

Solving
32 + 5m = -7 + 2x

Solving for variable 'm'.

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

Add '-32' to each side of the equation.
32 + -32 + 5m = -7 + -32 + 2x

Combine like terms: 32 + -32 = 0
0 + 5m = -7 + -32 + 2x
5m = -7 + -32 + 2x

Combine like terms: -7 + -32 = -39
5m = -39 + 2x

Divide each side by '5'.
m = -7.8 + 0.4x

Simplifying
m = -7.8 + 0.4x

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