6(2x+5)+2(4x-3)=10

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Solution for 6(2x+5)+2(4x-3)=10 equation:


Simplifying
6(2x + 5) + 2(4x + -3) = 10

Reorder the terms:
6(5 + 2x) + 2(4x + -3) = 10
(5 * 6 + 2x * 6) + 2(4x + -3) = 10
(30 + 12x) + 2(4x + -3) = 10

Reorder the terms:
30 + 12x + 2(-3 + 4x) = 10
30 + 12x + (-3 * 2 + 4x * 2) = 10
30 + 12x + (-6 + 8x) = 10

Reorder the terms:
30 + -6 + 12x + 8x = 10

Combine like terms: 30 + -6 = 24
24 + 12x + 8x = 10

Combine like terms: 12x + 8x = 20x
24 + 20x = 10

Solving
24 + 20x = 10

Solving for variable 'x'.

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

Add '-24' to each side of the equation.
24 + -24 + 20x = 10 + -24

Combine like terms: 24 + -24 = 0
0 + 20x = 10 + -24
20x = 10 + -24

Combine like terms: 10 + -24 = -14
20x = -14

Divide each side by '20'.
x = -0.7

Simplifying
x = -0.7

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