7(2x-1)-(5x-4)+(9x-7)=0

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Solution for 7(2x-1)-(5x-4)+(9x-7)=0 equation:


Simplifying
7(2x + -1) + -1(5x + -4) + (9x + -7) = 0

Reorder the terms:
7(-1 + 2x) + -1(5x + -4) + (9x + -7) = 0
(-1 * 7 + 2x * 7) + -1(5x + -4) + (9x + -7) = 0
(-7 + 14x) + -1(5x + -4) + (9x + -7) = 0

Reorder the terms:
-7 + 14x + -1(-4 + 5x) + (9x + -7) = 0
-7 + 14x + (-4 * -1 + 5x * -1) + (9x + -7) = 0
-7 + 14x + (4 + -5x) + (9x + -7) = 0

Reorder the terms:
-7 + 14x + 4 + -5x + (-7 + 9x) = 0

Remove parenthesis around (-7 + 9x)
-7 + 14x + 4 + -5x + -7 + 9x = 0

Reorder the terms:
-7 + 4 + -7 + 14x + -5x + 9x = 0

Combine like terms: -7 + 4 = -3
-3 + -7 + 14x + -5x + 9x = 0

Combine like terms: -3 + -7 = -10
-10 + 14x + -5x + 9x = 0

Combine like terms: 14x + -5x = 9x
-10 + 9x + 9x = 0

Combine like terms: 9x + 9x = 18x
-10 + 18x = 0

Solving
-10 + 18x = 0

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 18x = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 18x = 0 + 10
18x = 0 + 10

Combine like terms: 0 + 10 = 10
18x = 10

Divide each side by '18'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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