5(4+x)=5(3x-1)-45

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Solution for 5(4+x)=5(3x-1)-45 equation: 


Simplifying
5(4 + x) = 5(3x + -1) + -45
(4 * 5 + x * 5) = 5(3x + -1) + -45
(20 + 5x) = 5(3x + -1) + -45

Reorder the terms:
20 + 5x = 5(-1 + 3x) + -45
20 + 5x = (-1 * 5 + 3x * 5) + -45
20 + 5x = (-5 + 15x) + -45

Reorder the terms:
20 + 5x = -5 + -45 + 15x

Combine like terms: -5 + -45 = -50
20 + 5x = -50 + 15x

Solving
20 + 5x = -50 + 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 + 5x + -15x = -50 + 15x + -15x

Combine like terms: 5x + -15x = -10x
20 + -10x = -50 + 15x + -15x

Combine like terms: 15x + -15x = 0
20 + -10x = -50 + 0
20 + -10x = -50

Add '-20' to each side of the equation.
20 + -20 + -10x = -50 + -20

Combine like terms: 20 + -20 = 0
0 + -10x = -50 + -20
-10x = -50 + -20

Combine like terms: -50 + -20 = -70
-10x = -70

Divide each side by '-10'.
x = 7

Simplifying
x = 7

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