10(x+5)=4(x+6)

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Solution for 10(x+5)=4(x+6) equation: 


Simplifying
10(x + 5) = 4(x + 6)

Reorder the terms:
10(5 + x) = 4(x + 6)
(5 * 10 + x * 10) = 4(x + 6)
(50 + 10x) = 4(x + 6)

Reorder the terms:
50 + 10x = 4(6 + x)
50 + 10x = (6 * 4 + x * 4)
50 + 10x = (24 + 4x)

Solving
50 + 10x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
50 + 10x + -4x = 24 + 4x + -4x

Combine like terms: 10x + -4x = 6x
50 + 6x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
50 + 6x = 24 + 0
50 + 6x = 24

Add '-50' to each side of the equation.
50 + -50 + 6x = 24 + -50

Combine like terms: 50 + -50 = 0
0 + 6x = 24 + -50
6x = 24 + -50

Combine like terms: 24 + -50 = -26
6x = -26

Divide each side by '6'.
x = -4.333333333

Simplifying
x = -4.333333333

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