3(5-2x)+(7-2x)=1-9x

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Solution for 3(5-2x)+(7-2x)=1-9x equation:


Simplifying
3(5 + -2x) + (7 + -2x) = 1 + -9x
(5 * 3 + -2x * 3) + (7 + -2x) = 1 + -9x
(15 + -6x) + (7 + -2x) = 1 + -9x

Remove parenthesis around (7 + -2x)
15 + -6x + 7 + -2x = 1 + -9x

Reorder the terms:
15 + 7 + -6x + -2x = 1 + -9x

Combine like terms: 15 + 7 = 22
22 + -6x + -2x = 1 + -9x

Combine like terms: -6x + -2x = -8x
22 + -8x = 1 + -9x

Solving
22 + -8x = 1 + -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.
22 + -8x + 9x = 1 + -9x + 9x

Combine like terms: -8x + 9x = 1x
22 + 1x = 1 + -9x + 9x

Combine like terms: -9x + 9x = 0
22 + 1x = 1 + 0
22 + 1x = 1

Add '-22' to each side of the equation.
22 + -22 + 1x = 1 + -22

Combine like terms: 22 + -22 = 0
0 + 1x = 1 + -22
1x = 1 + -22

Combine like terms: 1 + -22 = -21
1x = -21

Divide each side by '1'.
x = -21

Simplifying
x = -21

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