4(3x+2)+5(7x-1)=10

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Solution for 4(3x+2)+5(7x-1)=10 equation:


Simplifying
4(3x + 2) + 5(7x + -1) = 10

Reorder the terms:
4(2 + 3x) + 5(7x + -1) = 10
(2 * 4 + 3x * 4) + 5(7x + -1) = 10
(8 + 12x) + 5(7x + -1) = 10

Reorder the terms:
8 + 12x + 5(-1 + 7x) = 10
8 + 12x + (-1 * 5 + 7x * 5) = 10
8 + 12x + (-5 + 35x) = 10

Reorder the terms:
8 + -5 + 12x + 35x = 10

Combine like terms: 8 + -5 = 3
3 + 12x + 35x = 10

Combine like terms: 12x + 35x = 47x
3 + 47x = 10

Solving
3 + 47x = 10

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 47x = 10 + -3

Combine like terms: 3 + -3 = 0
0 + 47x = 10 + -3
47x = 10 + -3

Combine like terms: 10 + -3 = 7
47x = 7

Divide each side by '47'.
x = 0.1489361702

Simplifying
x = 0.1489361702

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