4(3x+1)+3(3x+2)=3x-26

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Solution for 4(3x+1)+3(3x+2)=3x-26 equation: 


Simplifying
4(3x + 1) + 3(3x + 2) = 3x + -26

Reorder the terms:
4(1 + 3x) + 3(3x + 2) = 3x + -26
(1 * 4 + 3x * 4) + 3(3x + 2) = 3x + -26
(4 + 12x) + 3(3x + 2) = 3x + -26

Reorder the terms:
4 + 12x + 3(2 + 3x) = 3x + -26
4 + 12x + (2 * 3 + 3x * 3) = 3x + -26
4 + 12x + (6 + 9x) = 3x + -26

Reorder the terms:
4 + 6 + 12x + 9x = 3x + -26

Combine like terms: 4 + 6 = 10
10 + 12x + 9x = 3x + -26

Combine like terms: 12x + 9x = 21x
10 + 21x = 3x + -26

Reorder the terms:
10 + 21x = -26 + 3x

Solving
10 + 21x = -26 + 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.
10 + 21x + -3x = -26 + 3x + -3x

Combine like terms: 21x + -3x = 18x
10 + 18x = -26 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 18x = -26 + 0
10 + 18x = -26

Add '-10' to each side of the equation.
10 + -10 + 18x = -26 + -10

Combine like terms: 10 + -10 = 0
0 + 18x = -26 + -10
18x = -26 + -10

Combine like terms: -26 + -10 = -36
18x = -36

Divide each side by '18'.
x = -2

Simplifying
x = -2

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