6(1-x)+7(2+5x)=53

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Solution for 6(1-x)+7(2+5x)=53 equation:


Simplifying
6(1 + -1x) + 7(2 + 5x) = 53
(1 * 6 + -1x * 6) + 7(2 + 5x) = 53
(6 + -6x) + 7(2 + 5x) = 53
6 + -6x + (2 * 7 + 5x * 7) = 53
6 + -6x + (14 + 35x) = 53

Reorder the terms:
6 + 14 + -6x + 35x = 53

Combine like terms: 6 + 14 = 20
20 + -6x + 35x = 53

Combine like terms: -6x + 35x = 29x
20 + 29x = 53

Solving
20 + 29x = 53

Solving for variable 'x'.

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

Add '-20' to each side of the equation.
20 + -20 + 29x = 53 + -20

Combine like terms: 20 + -20 = 0
0 + 29x = 53 + -20
29x = 53 + -20

Combine like terms: 53 + -20 = 33
29x = 33

Divide each side by '29'.
x = 1.137931034

Simplifying
x = 1.137931034

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