4(3x+5)+4x+1=6x-5

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Solution for 4(3x+5)+4x+1=6x-5 equation:


Simplifying
4(3x + 5) + 4x + 1 = 6x + -5

Reorder the terms:
4(5 + 3x) + 4x + 1 = 6x + -5
(5 * 4 + 3x * 4) + 4x + 1 = 6x + -5
(20 + 12x) + 4x + 1 = 6x + -5

Reorder the terms:
20 + 1 + 12x + 4x = 6x + -5

Combine like terms: 20 + 1 = 21
21 + 12x + 4x = 6x + -5

Combine like terms: 12x + 4x = 16x
21 + 16x = 6x + -5

Reorder the terms:
21 + 16x = -5 + 6x

Solving
21 + 16x = -5 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
21 + 16x + -6x = -5 + 6x + -6x

Combine like terms: 16x + -6x = 10x
21 + 10x = -5 + 6x + -6x

Combine like terms: 6x + -6x = 0
21 + 10x = -5 + 0
21 + 10x = -5

Add '-21' to each side of the equation.
21 + -21 + 10x = -5 + -21

Combine like terms: 21 + -21 = 0
0 + 10x = -5 + -21
10x = -5 + -21

Combine like terms: -5 + -21 = -26
10x = -26

Divide each side by '10'.
x = -2.6

Simplifying
x = -2.6

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