17x-9(1-x)=4(3x-1)+7

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Solution for 17x-9(1-x)=4(3x-1)+7 equation:


Simplifying
17x + -9(1 + -1x) = 4(3x + -1) + 7
17x + (1 * -9 + -1x * -9) = 4(3x + -1) + 7
17x + (-9 + 9x) = 4(3x + -1) + 7

Reorder the terms:
-9 + 17x + 9x = 4(3x + -1) + 7

Combine like terms: 17x + 9x = 26x
-9 + 26x = 4(3x + -1) + 7

Reorder the terms:
-9 + 26x = 4(-1 + 3x) + 7
-9 + 26x = (-1 * 4 + 3x * 4) + 7
-9 + 26x = (-4 + 12x) + 7

Reorder the terms:
-9 + 26x = -4 + 7 + 12x

Combine like terms: -4 + 7 = 3
-9 + 26x = 3 + 12x

Solving
-9 + 26x = 3 + 12x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12x' to each side of the equation.
-9 + 26x + -12x = 3 + 12x + -12x

Combine like terms: 26x + -12x = 14x
-9 + 14x = 3 + 12x + -12x

Combine like terms: 12x + -12x = 0
-9 + 14x = 3 + 0
-9 + 14x = 3

Add '9' to each side of the equation.
-9 + 9 + 14x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 14x = 3 + 9
14x = 3 + 9

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

Divide each side by '14'.
x = 0.8571428571

Simplifying
x = 0.8571428571

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