3(x+6x-7)-162=9(4x+5)

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Solution for 3(x+6x-7)-162=9(4x+5) equation:


Simplifying
3(x + 6x + -7) + -162 = 9(4x + 5)

Reorder the terms:
3(-7 + x + 6x) + -162 = 9(4x + 5)

Combine like terms: x + 6x = 7x
3(-7 + 7x) + -162 = 9(4x + 5)
(-7 * 3 + 7x * 3) + -162 = 9(4x + 5)
(-21 + 21x) + -162 = 9(4x + 5)

Reorder the terms:
-21 + -162 + 21x = 9(4x + 5)

Combine like terms: -21 + -162 = -183
-183 + 21x = 9(4x + 5)

Reorder the terms:
-183 + 21x = 9(5 + 4x)
-183 + 21x = (5 * 9 + 4x * 9)
-183 + 21x = (45 + 36x)

Solving
-183 + 21x = 45 + 36x

Solving for variable 'x'.

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

Add '-36x' to each side of the equation.
-183 + 21x + -36x = 45 + 36x + -36x

Combine like terms: 21x + -36x = -15x
-183 + -15x = 45 + 36x + -36x

Combine like terms: 36x + -36x = 0
-183 + -15x = 45 + 0
-183 + -15x = 45

Add '183' to each side of the equation.
-183 + 183 + -15x = 45 + 183

Combine like terms: -183 + 183 = 0
0 + -15x = 45 + 183
-15x = 45 + 183

Combine like terms: 45 + 183 = 228
-15x = 228

Divide each side by '-15'.
x = -15.2

Simplifying
x = -15.2

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