2(7x-5)=4(2+3x)-9x

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Solution for 2(7x-5)=4(2+3x)-9x equation:


Simplifying
2(7x + -5) = 4(2 + 3x) + -9x

Reorder the terms:
2(-5 + 7x) = 4(2 + 3x) + -9x
(-5 * 2 + 7x * 2) = 4(2 + 3x) + -9x
(-10 + 14x) = 4(2 + 3x) + -9x
-10 + 14x = (2 * 4 + 3x * 4) + -9x
-10 + 14x = (8 + 12x) + -9x

Combine like terms: 12x + -9x = 3x
-10 + 14x = 8 + 3x

Solving
-10 + 14x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 14x + -3x = 8 + 3x + -3x

Combine like terms: 14x + -3x = 11x
-10 + 11x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 11x = 8 + 0
-10 + 11x = 8

Add '10' to each side of the equation.
-10 + 10 + 11x = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = 8 + 10
11x = 8 + 10

Combine like terms: 8 + 10 = 18
11x = 18

Divide each side by '11'.
x = 1.636363636

Simplifying
x = 1.636363636

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