5(3+x)=4(4x-1)-47

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Solution for 5(3+x)=4(4x-1)-47 equation: 


Simplifying
5(3 + x) = 4(4x + -1) + -47
(3 * 5 + x * 5) = 4(4x + -1) + -47
(15 + 5x) = 4(4x + -1) + -47

Reorder the terms:
15 + 5x = 4(-1 + 4x) + -47
15 + 5x = (-1 * 4 + 4x * 4) + -47
15 + 5x = (-4 + 16x) + -47

Reorder the terms:
15 + 5x = -4 + -47 + 16x

Combine like terms: -4 + -47 = -51
15 + 5x = -51 + 16x

Solving
15 + 5x = -51 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
15 + 5x + -16x = -51 + 16x + -16x

Combine like terms: 5x + -16x = -11x
15 + -11x = -51 + 16x + -16x

Combine like terms: 16x + -16x = 0
15 + -11x = -51 + 0
15 + -11x = -51

Add '-15' to each side of the equation.
15 + -15 + -11x = -51 + -15

Combine like terms: 15 + -15 = 0
0 + -11x = -51 + -15
-11x = -51 + -15

Combine like terms: -51 + -15 = -66
-11x = -66

Divide each side by '-11'.
x = 6

Simplifying
x = 6

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