4(5-x)=5(3x-1)-63

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Solution for 4(5-x)=5(3x-1)-63 equation:


Simplifying
4(5 + -1x) = 5(3x + -1) + -63
(5 * 4 + -1x * 4) = 5(3x + -1) + -63
(20 + -4x) = 5(3x + -1) + -63

Reorder the terms:
20 + -4x = 5(-1 + 3x) + -63
20 + -4x = (-1 * 5 + 3x * 5) + -63
20 + -4x = (-5 + 15x) + -63

Reorder the terms:
20 + -4x = -5 + -63 + 15x

Combine like terms: -5 + -63 = -68
20 + -4x = -68 + 15x

Solving
20 + -4x = -68 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
20 + -4x + -15x = -68 + 15x + -15x

Combine like terms: -4x + -15x = -19x
20 + -19x = -68 + 15x + -15x

Combine like terms: 15x + -15x = 0
20 + -19x = -68 + 0
20 + -19x = -68

Add '-20' to each side of the equation.
20 + -20 + -19x = -68 + -20

Combine like terms: 20 + -20 = 0
0 + -19x = -68 + -20
-19x = -68 + -20

Combine like terms: -68 + -20 = -88
-19x = -88

Divide each side by '-19'.
x = 4.631578947

Simplifying
x = 4.631578947

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