4(x-9)=5(2x+6)

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Solution for 4(x-9)=5(2x+6) equation:


Simplifying
4(x + -9) = 5(2x + 6)

Reorder the terms:
4(-9 + x) = 5(2x + 6)
(-9 * 4 + x * 4) = 5(2x + 6)
(-36 + 4x) = 5(2x + 6)

Reorder the terms:
-36 + 4x = 5(6 + 2x)
-36 + 4x = (6 * 5 + 2x * 5)
-36 + 4x = (30 + 10x)

Solving
-36 + 4x = 30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-36 + 4x + -10x = 30 + 10x + -10x

Combine like terms: 4x + -10x = -6x
-36 + -6x = 30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-36 + -6x = 30 + 0
-36 + -6x = 30

Add '36' to each side of the equation.
-36 + 36 + -6x = 30 + 36

Combine like terms: -36 + 36 = 0
0 + -6x = 30 + 36
-6x = 30 + 36

Combine like terms: 30 + 36 = 66
-6x = 66

Divide each side by '-6'.
x = -11

Simplifying
x = -11

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