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

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Solution for 10(x-9)+6=-4(-4-5x) equation: 


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

Reorder the terms:
10(-9 + x) + 6 = -4(-4 + -5x)
(-9 * 10 + x * 10) + 6 = -4(-4 + -5x)
(-90 + 10x) + 6 = -4(-4 + -5x)

Reorder the terms:
-90 + 6 + 10x = -4(-4 + -5x)

Combine like terms: -90 + 6 = -84
-84 + 10x = -4(-4 + -5x)
-84 + 10x = (-4 * -4 + -5x * -4)
-84 + 10x = (16 + 20x)

Solving
-84 + 10x = 16 + 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.
-84 + 10x + -20x = 16 + 20x + -20x

Combine like terms: 10x + -20x = -10x
-84 + -10x = 16 + 20x + -20x

Combine like terms: 20x + -20x = 0
-84 + -10x = 16 + 0
-84 + -10x = 16

Add '84' to each side of the equation.
-84 + 84 + -10x = 16 + 84

Combine like terms: -84 + 84 = 0
0 + -10x = 16 + 84
-10x = 16 + 84

Combine like terms: 16 + 84 = 100
-10x = 100

Divide each side by '-10'.
x = -10

Simplifying
x = -10

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