3(x+2)-5(4-7x)=8

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Solution for 3(x+2)-5(4-7x)=8 equation:


Simplifying
3(x + 2) + -5(4 + -7x) = 8

Reorder the terms:
3(2 + x) + -5(4 + -7x) = 8
(2 * 3 + x * 3) + -5(4 + -7x) = 8
(6 + 3x) + -5(4 + -7x) = 8
6 + 3x + (4 * -5 + -7x * -5) = 8
6 + 3x + (-20 + 35x) = 8

Reorder the terms:
6 + -20 + 3x + 35x = 8

Combine like terms: 6 + -20 = -14
-14 + 3x + 35x = 8

Combine like terms: 3x + 35x = 38x
-14 + 38x = 8

Solving
-14 + 38x = 8

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 38x = 8 + 14

Combine like terms: -14 + 14 = 0
0 + 38x = 8 + 14
38x = 8 + 14

Combine like terms: 8 + 14 = 22
38x = 22

Divide each side by '38'.
x = 0.5789473684

Simplifying
x = 0.5789473684

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