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

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


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

Reorder the terms:
3 + 5(-4 + 2x) = -7(5x + 2)
3 + (-4 * 5 + 2x * 5) = -7(5x + 2)
3 + (-20 + 10x) = -7(5x + 2)

Combine like terms: 3 + -20 = -17
-17 + 10x = -7(5x + 2)

Reorder the terms:
-17 + 10x = -7(2 + 5x)
-17 + 10x = (2 * -7 + 5x * -7)
-17 + 10x = (-14 + -35x)

Solving
-17 + 10x = -14 + -35x

Solving for variable 'x'.

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

Add '35x' to each side of the equation.
-17 + 10x + 35x = -14 + -35x + 35x

Combine like terms: 10x + 35x = 45x
-17 + 45x = -14 + -35x + 35x

Combine like terms: -35x + 35x = 0
-17 + 45x = -14 + 0
-17 + 45x = -14

Add '17' to each side of the equation.
-17 + 17 + 45x = -14 + 17

Combine like terms: -17 + 17 = 0
0 + 45x = -14 + 17
45x = -14 + 17

Combine like terms: -14 + 17 = 3
45x = 3

Divide each side by '45'.
x = 0.06666666667

Simplifying
x = 0.06666666667

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