6(4x+1)-2(5x-3)=-58

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Solution for 6(4x+1)-2(5x-3)=-58 equation:


Simplifying
6(4x + 1) + -2(5x + -3) = -58

Reorder the terms:
6(1 + 4x) + -2(5x + -3) = -58
(1 * 6 + 4x * 6) + -2(5x + -3) = -58
(6 + 24x) + -2(5x + -3) = -58

Reorder the terms:
6 + 24x + -2(-3 + 5x) = -58
6 + 24x + (-3 * -2 + 5x * -2) = -58
6 + 24x + (6 + -10x) = -58

Reorder the terms:
6 + 6 + 24x + -10x = -58

Combine like terms: 6 + 6 = 12
12 + 24x + -10x = -58

Combine like terms: 24x + -10x = 14x
12 + 14x = -58

Solving
12 + 14x = -58

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 14x = -58 + -12

Combine like terms: 12 + -12 = 0
0 + 14x = -58 + -12
14x = -58 + -12

Combine like terms: -58 + -12 = -70
14x = -70

Divide each side by '14'.
x = -5

Simplifying
x = -5

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