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

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


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

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

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

Reorder the terms:
20 + 4x = 3 + -6 + 3x

Combine like terms: 3 + -6 = -3
20 + 4x = -3 + 3x

Solving
20 + 4x = -3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
20 + 4x + -3x = -3 + 3x + -3x

Combine like terms: 4x + -3x = 1x
20 + 1x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
20 + 1x = -3 + 0
20 + 1x = -3

Add '-20' to each side of the equation.
20 + -20 + 1x = -3 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -3 + -20
1x = -3 + -20

Combine like terms: -3 + -20 = -23
1x = -23

Divide each side by '1'.
x = -23

Simplifying
x = -23

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