9+4(x-6)=4-6(x-7)

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Solution for 9+4(x-6)=4-6(x-7) equation: 


Simplifying
9 + 4(x + -6) = 4 + -6(x + -7)

Reorder the terms:
9 + 4(-6 + x) = 4 + -6(x + -7)
9 + (-6 * 4 + x * 4) = 4 + -6(x + -7)
9 + (-24 + 4x) = 4 + -6(x + -7)

Combine like terms: 9 + -24 = -15
-15 + 4x = 4 + -6(x + -7)

Reorder the terms:
-15 + 4x = 4 + -6(-7 + x)
-15 + 4x = 4 + (-7 * -6 + x * -6)
-15 + 4x = 4 + (42 + -6x)

Combine like terms: 4 + 42 = 46
-15 + 4x = 46 + -6x

Solving
-15 + 4x = 46 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-15 + 4x + 6x = 46 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-15 + 10x = 46 + -6x + 6x

Combine like terms: -6x + 6x = 0
-15 + 10x = 46 + 0
-15 + 10x = 46

Add '15' to each side of the equation.
-15 + 15 + 10x = 46 + 15

Combine like terms: -15 + 15 = 0
0 + 10x = 46 + 15
10x = 46 + 15

Combine like terms: 46 + 15 = 61
10x = 61

Divide each side by '10'.
x = 6.1

Simplifying
x = 6.1

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