9+6(x-1)=3-4(x-5)

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Solution for 9+6(x-1)=3-4(x-5) equation:


Simplifying
9 + 6(x + -1) = 3 + -4(x + -5)

Reorder the terms:
9 + 6(-1 + x) = 3 + -4(x + -5)
9 + (-1 * 6 + x * 6) = 3 + -4(x + -5)
9 + (-6 + 6x) = 3 + -4(x + -5)

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

Reorder the terms:
3 + 6x = 3 + -4(-5 + x)
3 + 6x = 3 + (-5 * -4 + x * -4)
3 + 6x = 3 + (20 + -4x)

Combine like terms: 3 + 20 = 23
3 + 6x = 23 + -4x

Solving
3 + 6x = 23 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
3 + 6x + 4x = 23 + -4x + 4x

Combine like terms: 6x + 4x = 10x
3 + 10x = 23 + -4x + 4x

Combine like terms: -4x + 4x = 0
3 + 10x = 23 + 0
3 + 10x = 23

Add '-3' to each side of the equation.
3 + -3 + 10x = 23 + -3

Combine like terms: 3 + -3 = 0
0 + 10x = 23 + -3
10x = 23 + -3

Combine like terms: 23 + -3 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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