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

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


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

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

Combine like terms: 1 + -6 = -5
-5 + 6x = 4 + -9(x + -3)

Reorder the terms:
-5 + 6x = 4 + -9(-3 + x)
-5 + 6x = 4 + (-3 * -9 + x * -9)
-5 + 6x = 4 + (27 + -9x)

Combine like terms: 4 + 27 = 31
-5 + 6x = 31 + -9x

Solving
-5 + 6x = 31 + -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.
-5 + 6x + 9x = 31 + -9x + 9x

Combine like terms: 6x + 9x = 15x
-5 + 15x = 31 + -9x + 9x

Combine like terms: -9x + 9x = 0
-5 + 15x = 31 + 0
-5 + 15x = 31

Add '5' to each side of the equation.
-5 + 5 + 15x = 31 + 5

Combine like terms: -5 + 5 = 0
0 + 15x = 31 + 5
15x = 31 + 5

Combine like terms: 31 + 5 = 36
15x = 36

Divide each side by '15'.
x = 2.4

Simplifying
x = 2.4

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