10(x+4)=3(x+25)

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Solution for 10(x+4)=3(x+25) equation: 


Simplifying
10(x + 4) = 3(x + 25)

Reorder the terms:
10(4 + x) = 3(x + 25)
(4 * 10 + x * 10) = 3(x + 25)
(40 + 10x) = 3(x + 25)

Reorder the terms:
40 + 10x = 3(25 + x)
40 + 10x = (25 * 3 + x * 3)
40 + 10x = (75 + 3x)

Solving
40 + 10x = 75 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
40 + 10x + -3x = 75 + 3x + -3x

Combine like terms: 10x + -3x = 7x
40 + 7x = 75 + 3x + -3x

Combine like terms: 3x + -3x = 0
40 + 7x = 75 + 0
40 + 7x = 75

Add '-40' to each side of the equation.
40 + -40 + 7x = 75 + -40

Combine like terms: 40 + -40 = 0
0 + 7x = 75 + -40
7x = 75 + -40

Combine like terms: 75 + -40 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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