2(3+6x)+4(7x-4)=10

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Solution for 2(3+6x)+4(7x-4)=10 equation:


Simplifying
2(3 + 6x) + 4(7x + -4) = 10
(3 * 2 + 6x * 2) + 4(7x + -4) = 10
(6 + 12x) + 4(7x + -4) = 10

Reorder the terms:
6 + 12x + 4(-4 + 7x) = 10
6 + 12x + (-4 * 4 + 7x * 4) = 10
6 + 12x + (-16 + 28x) = 10

Reorder the terms:
6 + -16 + 12x + 28x = 10

Combine like terms: 6 + -16 = -10
-10 + 12x + 28x = 10

Combine like terms: 12x + 28x = 40x
-10 + 40x = 10

Solving
-10 + 40x = 10

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 40x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + 40x = 10 + 10
40x = 10 + 10

Combine like terms: 10 + 10 = 20
40x = 20

Divide each side by '40'.
x = 0.5

Simplifying
x = 0.5

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