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

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


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

Reorder the terms:
5(-1 + 2x) + 7(4x + -2) = 0
(-1 * 5 + 2x * 5) + 7(4x + -2) = 0
(-5 + 10x) + 7(4x + -2) = 0

Reorder the terms:
-5 + 10x + 7(-2 + 4x) = 0
-5 + 10x + (-2 * 7 + 4x * 7) = 0
-5 + 10x + (-14 + 28x) = 0

Reorder the terms:
-5 + -14 + 10x + 28x = 0

Combine like terms: -5 + -14 = -19
-19 + 10x + 28x = 0

Combine like terms: 10x + 28x = 38x
-19 + 38x = 0

Solving
-19 + 38x = 0

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 38x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 38x = 0 + 19
38x = 0 + 19

Combine like terms: 0 + 19 = 19
38x = 19

Divide each side by '38'.
x = 0.5

Simplifying
x = 0.5

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