3(2x+5)+2(5x+2)=53

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


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

Reorder the terms:
3(5 + 2x) + 2(5x + 2) = 53
(5 * 3 + 2x * 3) + 2(5x + 2) = 53
(15 + 6x) + 2(5x + 2) = 53

Reorder the terms:
15 + 6x + 2(2 + 5x) = 53
15 + 6x + (2 * 2 + 5x * 2) = 53
15 + 6x + (4 + 10x) = 53

Reorder the terms:
15 + 4 + 6x + 10x = 53

Combine like terms: 15 + 4 = 19
19 + 6x + 10x = 53

Combine like terms: 6x + 10x = 16x
19 + 16x = 53

Solving
19 + 16x = 53

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 16x = 53 + -19

Combine like terms: 19 + -19 = 0
0 + 16x = 53 + -19
16x = 53 + -19

Combine like terms: 53 + -19 = 34
16x = 34

Divide each side by '16'.
x = 2.125

Simplifying
x = 2.125

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