9(x-3)=4(x+10)

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Solution for 9(x-3)=4(x+10) equation:


Simplifying
9(x + -3) = 4(x + 10)

Reorder the terms:
9(-3 + x) = 4(x + 10)
(-3 * 9 + x * 9) = 4(x + 10)
(-27 + 9x) = 4(x + 10)

Reorder the terms:
-27 + 9x = 4(10 + x)
-27 + 9x = (10 * 4 + x * 4)
-27 + 9x = (40 + 4x)

Solving
-27 + 9x = 40 + 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.
-27 + 9x + -4x = 40 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-27 + 5x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
-27 + 5x = 40 + 0
-27 + 5x = 40

Add '27' to each side of the equation.
-27 + 27 + 5x = 40 + 27

Combine like terms: -27 + 27 = 0
0 + 5x = 40 + 27
5x = 40 + 27

Combine like terms: 40 + 27 = 67
5x = 67

Divide each side by '5'.
x = 13.4

Simplifying
x = 13.4

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