20(3x+24)+20(x+26)=20(15)

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Solution for 20(3x+24)+20(x+26)=20(15) equation:


Simplifying
20(3x + 24) + 20(x + 26) = 20(15)

Reorder the terms:
20(24 + 3x) + 20(x + 26) = 20(15)
(24 * 20 + 3x * 20) + 20(x + 26) = 20(15)
(480 + 60x) + 20(x + 26) = 20(15)

Reorder the terms:
480 + 60x + 20(26 + x) = 20(15)
480 + 60x + (26 * 20 + x * 20) = 20(15)
480 + 60x + (520 + 20x) = 20(15)

Reorder the terms:
480 + 520 + 60x + 20x = 20(15)

Combine like terms: 480 + 520 = 1000
1000 + 60x + 20x = 20(15)

Combine like terms: 60x + 20x = 80x
1000 + 80x = 20(15)

Multiply 20 * 15
1000 + 80x = 300

Solving
1000 + 80x = 300

Solving for variable 'x'.

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

Add '-1000' to each side of the equation.
1000 + -1000 + 80x = 300 + -1000

Combine like terms: 1000 + -1000 = 0
0 + 80x = 300 + -1000
80x = 300 + -1000

Combine like terms: 300 + -1000 = -700
80x = -700

Divide each side by '80'.
x = -8.75

Simplifying
x = -8.75

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