5(3x+2)=4(x+4)-20

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Solution for 5(3x+2)=4(x+4)-20 equation: 


Simplifying
5(3x + 2) = 4(x + 4) + -20

Reorder the terms:
5(2 + 3x) = 4(x + 4) + -20
(2 * 5 + 3x * 5) = 4(x + 4) + -20
(10 + 15x) = 4(x + 4) + -20

Reorder the terms:
10 + 15x = 4(4 + x) + -20
10 + 15x = (4 * 4 + x * 4) + -20
10 + 15x = (16 + 4x) + -20

Reorder the terms:
10 + 15x = 16 + -20 + 4x

Combine like terms: 16 + -20 = -4
10 + 15x = -4 + 4x

Solving
10 + 15x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 15x + -4x = -4 + 4x + -4x

Combine like terms: 15x + -4x = 11x
10 + 11x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 11x = -4 + 0
10 + 11x = -4

Add '-10' to each side of the equation.
10 + -10 + 11x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 11x = -4 + -10
11x = -4 + -10

Combine like terms: -4 + -10 = -14
11x = -14

Divide each side by '11'.
x = -1.272727273

Simplifying
x = -1.272727273

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