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

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


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

Reorder the terms:
9(-2 + x) + -6(x + 5) = 4(5x + -2)
(-2 * 9 + x * 9) + -6(x + 5) = 4(5x + -2)
(-18 + 9x) + -6(x + 5) = 4(5x + -2)

Reorder the terms:
-18 + 9x + -6(5 + x) = 4(5x + -2)
-18 + 9x + (5 * -6 + x * -6) = 4(5x + -2)
-18 + 9x + (-30 + -6x) = 4(5x + -2)

Reorder the terms:
-18 + -30 + 9x + -6x = 4(5x + -2)

Combine like terms: -18 + -30 = -48
-48 + 9x + -6x = 4(5x + -2)

Combine like terms: 9x + -6x = 3x
-48 + 3x = 4(5x + -2)

Reorder the terms:
-48 + 3x = 4(-2 + 5x)
-48 + 3x = (-2 * 4 + 5x * 4)
-48 + 3x = (-8 + 20x)

Solving
-48 + 3x = -8 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-48 + 3x + -20x = -8 + 20x + -20x

Combine like terms: 3x + -20x = -17x
-48 + -17x = -8 + 20x + -20x

Combine like terms: 20x + -20x = 0
-48 + -17x = -8 + 0
-48 + -17x = -8

Add '48' to each side of the equation.
-48 + 48 + -17x = -8 + 48

Combine like terms: -48 + 48 = 0
0 + -17x = -8 + 48
-17x = -8 + 48

Combine like terms: -8 + 48 = 40
-17x = 40

Divide each side by '-17'.
x = -2.352941176

Simplifying
x = -2.352941176

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