91=7x+4(6x-16)

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Solution for 91=7x+4(6x-16) equation:


Simplifying
91 = 7x + 4(6x + -16)

Reorder the terms:
91 = 7x + 4(-16 + 6x)
91 = 7x + (-16 * 4 + 6x * 4)
91 = 7x + (-64 + 24x)

Reorder the terms:
91 = -64 + 7x + 24x

Combine like terms: 7x + 24x = 31x
91 = -64 + 31x

Solving
91 = -64 + 31x

Solving for variable 'x'.

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

Add '-31x' to each side of the equation.
91 + -31x = -64 + 31x + -31x

Combine like terms: 31x + -31x = 0
91 + -31x = -64 + 0
91 + -31x = -64

Add '-91' to each side of the equation.
91 + -91 + -31x = -64 + -91

Combine like terms: 91 + -91 = 0
0 + -31x = -64 + -91
-31x = -64 + -91

Combine like terms: -64 + -91 = -155
-31x = -155

Divide each side by '-31'.
x = 5

Simplifying
x = 5

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