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

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Solution for -5(1+3x)-4(8x-4)=58 equation: 


Simplifying
-5(1 + 3x) + -4(8x + -4) = 58
(1 * -5 + 3x * -5) + -4(8x + -4) = 58
(-5 + -15x) + -4(8x + -4) = 58

Reorder the terms:
-5 + -15x + -4(-4 + 8x) = 58
-5 + -15x + (-4 * -4 + 8x * -4) = 58
-5 + -15x + (16 + -32x) = 58

Reorder the terms:
-5 + 16 + -15x + -32x = 58

Combine like terms: -5 + 16 = 11
11 + -15x + -32x = 58

Combine like terms: -15x + -32x = -47x
11 + -47x = 58

Solving
11 + -47x = 58

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -47x = 58 + -11

Combine like terms: 11 + -11 = 0
0 + -47x = 58 + -11
-47x = 58 + -11

Combine like terms: 58 + -11 = 47
-47x = 47

Divide each side by '-47'.
x = -1

Simplifying
x = -1

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