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

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


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

Reorder the terms:
3 + 6(-9 + x) = 6 + -4(x + -1)
3 + (-9 * 6 + x * 6) = 6 + -4(x + -1)
3 + (-54 + 6x) = 6 + -4(x + -1)

Combine like terms: 3 + -54 = -51
-51 + 6x = 6 + -4(x + -1)

Reorder the terms:
-51 + 6x = 6 + -4(-1 + x)
-51 + 6x = 6 + (-1 * -4 + x * -4)
-51 + 6x = 6 + (4 + -4x)

Combine like terms: 6 + 4 = 10
-51 + 6x = 10 + -4x

Solving
-51 + 6x = 10 + -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.
-51 + 6x + 4x = 10 + -4x + 4x

Combine like terms: 6x + 4x = 10x
-51 + 10x = 10 + -4x + 4x

Combine like terms: -4x + 4x = 0
-51 + 10x = 10 + 0
-51 + 10x = 10

Add '51' to each side of the equation.
-51 + 51 + 10x = 10 + 51

Combine like terms: -51 + 51 = 0
0 + 10x = 10 + 51
10x = 10 + 51

Combine like terms: 10 + 51 = 61
10x = 61

Divide each side by '10'.
x = 6.1

Simplifying
x = 6.1

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