5(3x-2)-(8-4x)=58

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Solution for 5(3x-2)-(8-4x)=58 equation: 


Simplifying
5(3x + -2) + -1(8 + -4x) = 58

Reorder the terms:
5(-2 + 3x) + -1(8 + -4x) = 58
(-2 * 5 + 3x * 5) + -1(8 + -4x) = 58
(-10 + 15x) + -1(8 + -4x) = 58
-10 + 15x + (8 * -1 + -4x * -1) = 58
-10 + 15x + (-8 + 4x) = 58

Reorder the terms:
-10 + -8 + 15x + 4x = 58

Combine like terms: -10 + -8 = -18
-18 + 15x + 4x = 58

Combine like terms: 15x + 4x = 19x
-18 + 19x = 58

Solving
-18 + 19x = 58

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 19x = 58 + 18

Combine like terms: -18 + 18 = 0
0 + 19x = 58 + 18
19x = 58 + 18

Combine like terms: 58 + 18 = 76
19x = 76

Divide each side by '19'.
x = 4

Simplifying
x = 4

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