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 = 115
7x = 115

Divide each side by '7'.
x = 16.42857143

Simplifying
x = 16.42857143

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