1+3(x-5)=7-9(x-1)

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Solution for 1+3(x-5)=7-9(x-1) equation:


Simplifying
1 + 3(x + -5) = 7 + -9(x + -1)

Reorder the terms:
1 + 3(-5 + x) = 7 + -9(x + -1)
1 + (-5 * 3 + x * 3) = 7 + -9(x + -1)
1 + (-15 + 3x) = 7 + -9(x + -1)

Combine like terms: 1 + -15 = -14
-14 + 3x = 7 + -9(x + -1)

Reorder the terms:
-14 + 3x = 7 + -9(-1 + x)
-14 + 3x = 7 + (-1 * -9 + x * -9)
-14 + 3x = 7 + (9 + -9x)

Combine like terms: 7 + 9 = 16
-14 + 3x = 16 + -9x

Solving
-14 + 3x = 16 + -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.
-14 + 3x + 9x = 16 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-14 + 12x = 16 + -9x + 9x

Combine like terms: -9x + 9x = 0
-14 + 12x = 16 + 0
-14 + 12x = 16

Add '14' to each side of the equation.
-14 + 14 + 12x = 16 + 14

Combine like terms: -14 + 14 = 0
0 + 12x = 16 + 14
12x = 16 + 14

Combine like terms: 16 + 14 = 30
12x = 30

Divide each side by '12'.
x = 2.5

Simplifying
x = 2.5

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