5(3x+8)=10(4x+5)

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Solution for 5(3x+8)=10(4x+5) equation:


Simplifying
5(3x + 8) = 10(4x + 5)

Reorder the terms:
5(8 + 3x) = 10(4x + 5)
(8 * 5 + 3x * 5) = 10(4x + 5)
(40 + 15x) = 10(4x + 5)

Reorder the terms:
40 + 15x = 10(5 + 4x)
40 + 15x = (5 * 10 + 4x * 10)
40 + 15x = (50 + 40x)

Solving
40 + 15x = 50 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
40 + 15x + -40x = 50 + 40x + -40x

Combine like terms: 15x + -40x = -25x
40 + -25x = 50 + 40x + -40x

Combine like terms: 40x + -40x = 0
40 + -25x = 50 + 0
40 + -25x = 50

Add '-40' to each side of the equation.
40 + -40 + -25x = 50 + -40

Combine like terms: 40 + -40 = 0
0 + -25x = 50 + -40
-25x = 50 + -40

Combine like terms: 50 + -40 = 10
-25x = 10

Divide each side by '-25'.
x = -0.4

Simplifying
x = -0.4

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