162=7x+4(-4x+18)

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Solution for 162=7x+4(-4x+18) equation:


Simplifying
162 = 7x + 4(-4x + 18)

Reorder the terms:
162 = 7x + 4(18 + -4x)
162 = 7x + (18 * 4 + -4x * 4)
162 = 7x + (72 + -16x)

Reorder the terms:
162 = 72 + 7x + -16x

Combine like terms: 7x + -16x = -9x
162 = 72 + -9x

Solving
162 = 72 + -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.
162 + 9x = 72 + -9x + 9x

Combine like terms: -9x + 9x = 0
162 + 9x = 72 + 0
162 + 9x = 72

Add '-162' to each side of the equation.
162 + -162 + 9x = 72 + -162

Combine like terms: 162 + -162 = 0
0 + 9x = 72 + -162
9x = 72 + -162

Combine like terms: 72 + -162 = -90
9x = -90

Divide each side by '9'.
x = -10

Simplifying
x = -10

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