3M-(7M+12)=2(M-3)

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Solution for 3M-(7M+12)=2(M-3) equation:


Simplifying
3M + -1(7M + 12) = 2(M + -3)

Reorder the terms:
3M + -1(12 + 7M) = 2(M + -3)
3M + (12 * -1 + 7M * -1) = 2(M + -3)
3M + (-12 + -7M) = 2(M + -3)

Reorder the terms:
-12 + 3M + -7M = 2(M + -3)

Combine like terms: 3M + -7M = -4M
-12 + -4M = 2(M + -3)

Reorder the terms:
-12 + -4M = 2(-3 + M)
-12 + -4M = (-3 * 2 + M * 2)
-12 + -4M = (-6 + 2M)

Solving
-12 + -4M = -6 + 2M

Solving for variable 'M'.

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

Add '-2M' to each side of the equation.
-12 + -4M + -2M = -6 + 2M + -2M

Combine like terms: -4M + -2M = -6M
-12 + -6M = -6 + 2M + -2M

Combine like terms: 2M + -2M = 0
-12 + -6M = -6 + 0
-12 + -6M = -6

Add '12' to each side of the equation.
-12 + 12 + -6M = -6 + 12

Combine like terms: -12 + 12 = 0
0 + -6M = -6 + 12
-6M = -6 + 12

Combine like terms: -6 + 12 = 6
-6M = 6

Divide each side by '-6'.
M = -1

Simplifying
M = -1

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