3(3x+26)-4-x=36+2(x+4)

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Solution for 3(3x+26)-4-x=36+2(x+4) equation:


Simplifying
3(3x + 26) + -4 + -1x = 36 + 2(x + 4)

Reorder the terms:
3(26 + 3x) + -4 + -1x = 36 + 2(x + 4)
(26 * 3 + 3x * 3) + -4 + -1x = 36 + 2(x + 4)
(78 + 9x) + -4 + -1x = 36 + 2(x + 4)

Reorder the terms:
78 + -4 + 9x + -1x = 36 + 2(x + 4)

Combine like terms: 78 + -4 = 74
74 + 9x + -1x = 36 + 2(x + 4)

Combine like terms: 9x + -1x = 8x
74 + 8x = 36 + 2(x + 4)

Reorder the terms:
74 + 8x = 36 + 2(4 + x)
74 + 8x = 36 + (4 * 2 + x * 2)
74 + 8x = 36 + (8 + 2x)

Combine like terms: 36 + 8 = 44
74 + 8x = 44 + 2x

Solving
74 + 8x = 44 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
74 + 8x + -2x = 44 + 2x + -2x

Combine like terms: 8x + -2x = 6x
74 + 6x = 44 + 2x + -2x

Combine like terms: 2x + -2x = 0
74 + 6x = 44 + 0
74 + 6x = 44

Add '-74' to each side of the equation.
74 + -74 + 6x = 44 + -74

Combine like terms: 74 + -74 = 0
0 + 6x = 44 + -74
6x = 44 + -74

Combine like terms: 44 + -74 = -30
6x = -30

Divide each side by '6'.
x = -5

Simplifying
x = -5

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