6(x-4)=-9(x+1)+10

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Solution for 6(x-4)=-9(x+1)+10 equation: 


Simplifying
6(x + -4) = -9(x + 1) + 10

Reorder the terms:
6(-4 + x) = -9(x + 1) + 10
(-4 * 6 + x * 6) = -9(x + 1) + 10
(-24 + 6x) = -9(x + 1) + 10

Reorder the terms:
-24 + 6x = -9(1 + x) + 10
-24 + 6x = (1 * -9 + x * -9) + 10
-24 + 6x = (-9 + -9x) + 10

Reorder the terms:
-24 + 6x = -9 + 10 + -9x

Combine like terms: -9 + 10 = 1
-24 + 6x = 1 + -9x

Solving
-24 + 6x = 1 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
-24 + 6x + 9x = 1 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-24 + 15x = 1 + -9x + 9x

Combine like terms: -9x + 9x = 0
-24 + 15x = 1 + 0
-24 + 15x = 1

Add '24' to each side of the equation.
-24 + 24 + 15x = 1 + 24

Combine like terms: -24 + 24 = 0
0 + 15x = 1 + 24
15x = 1 + 24

Combine like terms: 1 + 24 = 25
15x = 25

Divide each side by '15'.
x = 1.666666667

Simplifying
x = 1.666666667

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