1+3(x-7)=7-9(x-2)

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Solution for 1+3(x-7)=7-9(x-2) equation: 


Simplifying
1 + 3(x + -7) = 7 + -9(x + -2)

Reorder the terms:
1 + 3(-7 + x) = 7 + -9(x + -2)
1 + (-7 * 3 + x * 3) = 7 + -9(x + -2)
1 + (-21 + 3x) = 7 + -9(x + -2)

Combine like terms: 1 + -21 = -20
-20 + 3x = 7 + -9(x + -2)

Reorder the terms:
-20 + 3x = 7 + -9(-2 + x)
-20 + 3x = 7 + (-2 * -9 + x * -9)
-20 + 3x = 7 + (18 + -9x)

Combine like terms: 7 + 18 = 25
-20 + 3x = 25 + -9x

Solving
-20 + 3x = 25 + -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.
-20 + 3x + 9x = 25 + -9x + 9x

Combine like terms: 3x + 9x = 12x
-20 + 12x = 25 + -9x + 9x

Combine like terms: -9x + 9x = 0
-20 + 12x = 25 + 0
-20 + 12x = 25

Add '20' to each side of the equation.
-20 + 20 + 12x = 25 + 20

Combine like terms: -20 + 20 = 0
0 + 12x = 25 + 20
12x = 25 + 20

Combine like terms: 25 + 20 = 45
12x = 45

Divide each side by '12'.
x = 3.75

Simplifying
x = 3.75

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