5(7x-3)-2(5-2x)=53

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Solution for 5(7x-3)-2(5-2x)=53 equation: 


Simplifying
5(7x + -3) + -2(5 + -2x) = 53

Reorder the terms:
5(-3 + 7x) + -2(5 + -2x) = 53
(-3 * 5 + 7x * 5) + -2(5 + -2x) = 53
(-15 + 35x) + -2(5 + -2x) = 53
-15 + 35x + (5 * -2 + -2x * -2) = 53
-15 + 35x + (-10 + 4x) = 53

Reorder the terms:
-15 + -10 + 35x + 4x = 53

Combine like terms: -15 + -10 = -25
-25 + 35x + 4x = 53

Combine like terms: 35x + 4x = 39x
-25 + 39x = 53

Solving
-25 + 39x = 53

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 39x = 53 + 25

Combine like terms: -25 + 25 = 0
0 + 39x = 53 + 25
39x = 53 + 25

Combine like terms: 53 + 25 = 78
39x = 78

Divide each side by '39'.
x = 2

Simplifying
x = 2

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