6+5(x+4)=3(3x+2)+4

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Solution for 6+5(x+4)=3(3x+2)+4 equation: 


Simplifying
6 + 5(x + 4) = 3(3x + 2) + 4

Reorder the terms:
6 + 5(4 + x) = 3(3x + 2) + 4
6 + (4 * 5 + x * 5) = 3(3x + 2) + 4
6 + (20 + 5x) = 3(3x + 2) + 4

Combine like terms: 6 + 20 = 26
26 + 5x = 3(3x + 2) + 4

Reorder the terms:
26 + 5x = 3(2 + 3x) + 4
26 + 5x = (2 * 3 + 3x * 3) + 4
26 + 5x = (6 + 9x) + 4

Reorder the terms:
26 + 5x = 6 + 4 + 9x

Combine like terms: 6 + 4 = 10
26 + 5x = 10 + 9x

Solving
26 + 5x = 10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
26 + 5x + -9x = 10 + 9x + -9x

Combine like terms: 5x + -9x = -4x
26 + -4x = 10 + 9x + -9x

Combine like terms: 9x + -9x = 0
26 + -4x = 10 + 0
26 + -4x = 10

Add '-26' to each side of the equation.
26 + -26 + -4x = 10 + -26

Combine like terms: 26 + -26 = 0
0 + -4x = 10 + -26
-4x = 10 + -26

Combine like terms: 10 + -26 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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