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

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


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

Reorder the terms:
9 + 4(-4 + x) = 2 + -6(x + -4)
9 + (-4 * 4 + x * 4) = 2 + -6(x + -4)
9 + (-16 + 4x) = 2 + -6(x + -4)

Combine like terms: 9 + -16 = -7
-7 + 4x = 2 + -6(x + -4)

Reorder the terms:
-7 + 4x = 2 + -6(-4 + x)
-7 + 4x = 2 + (-4 * -6 + x * -6)
-7 + 4x = 2 + (24 + -6x)

Combine like terms: 2 + 24 = 26
-7 + 4x = 26 + -6x

Solving
-7 + 4x = 26 + -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.
-7 + 4x + 6x = 26 + -6x + 6x

Combine like terms: 4x + 6x = 10x
-7 + 10x = 26 + -6x + 6x

Combine like terms: -6x + 6x = 0
-7 + 10x = 26 + 0
-7 + 10x = 26

Add '7' to each side of the equation.
-7 + 7 + 10x = 26 + 7

Combine like terms: -7 + 7 = 0
0 + 10x = 26 + 7
10x = 26 + 7

Combine like terms: 26 + 7 = 33
10x = 33

Divide each side by '10'.
x = 3.3

Simplifying
x = 3.3

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