5x+10(x+10)+25(x+14)=770

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Solution for 5x+10(x+10)+25(x+14)=770 equation:


Simplifying
5x + 10(x + 10) + 25(x + 14) = 770

Reorder the terms:
5x + 10(10 + x) + 25(x + 14) = 770
5x + (10 * 10 + x * 10) + 25(x + 14) = 770
5x + (100 + 10x) + 25(x + 14) = 770

Reorder the terms:
5x + 100 + 10x + 25(14 + x) = 770
5x + 100 + 10x + (14 * 25 + x * 25) = 770
5x + 100 + 10x + (350 + 25x) = 770

Reorder the terms:
100 + 350 + 5x + 10x + 25x = 770

Combine like terms: 100 + 350 = 450
450 + 5x + 10x + 25x = 770

Combine like terms: 5x + 10x = 15x
450 + 15x + 25x = 770

Combine like terms: 15x + 25x = 40x
450 + 40x = 770

Solving
450 + 40x = 770

Solving for variable 'x'.

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

Add '-450' to each side of the equation.
450 + -450 + 40x = 770 + -450

Combine like terms: 450 + -450 = 0
0 + 40x = 770 + -450
40x = 770 + -450

Combine like terms: 770 + -450 = 320
40x = 320

Divide each side by '40'.
x = 8

Simplifying
x = 8

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