122=7x+8(x+4)

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Solution for 122=7x+8(x+4) equation:


Simplifying
122 = 7x + 8(x + 4)

Reorder the terms:
122 = 7x + 8(4 + x)
122 = 7x + (4 * 8 + x * 8)
122 = 7x + (32 + 8x)

Reorder the terms:
122 = 32 + 7x + 8x

Combine like terms: 7x + 8x = 15x
122 = 32 + 15x

Solving
122 = 32 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
122 + -15x = 32 + 15x + -15x

Combine like terms: 15x + -15x = 0
122 + -15x = 32 + 0
122 + -15x = 32

Add '-122' to each side of the equation.
122 + -122 + -15x = 32 + -122

Combine like terms: 122 + -122 = 0
0 + -15x = 32 + -122
-15x = 32 + -122

Combine like terms: 32 + -122 = -90
-15x = -90

Divide each side by '-15'.
x = 6

Simplifying
x = 6

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