4[6-(1+2x)]+10m=2(10-3x)+8x

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Solution for 4[6-(1+2x)]+10m=2(10-3x)+8x equation:


Simplifying
4[6 + -1(1 + 2x)] + 10m = 2(10 + -3x) + 8x
4[6 + (1 * -1 + 2x * -1)] + 10m = 2(10 + -3x) + 8x
4[6 + (-1 + -2x)] + 10m = 2(10 + -3x) + 8x

Combine like terms: 6 + -1 = 5
4[5 + -2x] + 10m = 2(10 + -3x) + 8x
[5 * 4 + -2x * 4] + 10m = 2(10 + -3x) + 8x
[20 + -8x] + 10m = 2(10 + -3x) + 8x

Reorder the terms:
20 + 10m + -8x = 2(10 + -3x) + 8x
20 + 10m + -8x = (10 * 2 + -3x * 2) + 8x
20 + 10m + -8x = (20 + -6x) + 8x

Combine like terms: -6x + 8x = 2x
20 + 10m + -8x = 20 + 2x

Add '-20' to each side of the equation.
20 + 10m + -20 + -8x = 20 + -20 + 2x

Reorder the terms:
20 + -20 + 10m + -8x = 20 + -20 + 2x

Combine like terms: 20 + -20 = 0
0 + 10m + -8x = 20 + -20 + 2x
10m + -8x = 20 + -20 + 2x

Combine like terms: 20 + -20 = 0
10m + -8x = 0 + 2x
10m + -8x = 2x

Solving
10m + -8x = 2x

Solving for variable 'm'.

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

Add '8x' to each side of the equation.
10m + -8x + 8x = 2x + 8x

Combine like terms: -8x + 8x = 0
10m + 0 = 2x + 8x
10m = 2x + 8x

Combine like terms: 2x + 8x = 10x
10m = 10x

Divide each side by '10'.
m = x

Simplifying
m = x

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