5(2x+1)+7(4x+3)=0

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Solution for 5(2x+1)+7(4x+3)=0 equation:


Simplifying
5(2x + 1) + 7(4x + 3) = 0

Reorder the terms:
5(1 + 2x) + 7(4x + 3) = 0
(1 * 5 + 2x * 5) + 7(4x + 3) = 0
(5 + 10x) + 7(4x + 3) = 0

Reorder the terms:
5 + 10x + 7(3 + 4x) = 0
5 + 10x + (3 * 7 + 4x * 7) = 0
5 + 10x + (21 + 28x) = 0

Reorder the terms:
5 + 21 + 10x + 28x = 0

Combine like terms: 5 + 21 = 26
26 + 10x + 28x = 0

Combine like terms: 10x + 28x = 38x
26 + 38x = 0

Solving
26 + 38x = 0

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 38x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + 38x = 0 + -26
38x = 0 + -26

Combine like terms: 0 + -26 = -26
38x = -26

Divide each side by '38'.
x = -0.6842105263

Simplifying
x = -0.6842105263

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