-97=7+8(4x+7)

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Solution for -97=7+8(4x+7) equation:


Simplifying
-97 = 7 + 8(4x + 7)

Reorder the terms:
-97 = 7 + 8(7 + 4x)
-97 = 7 + (7 * 8 + 4x * 8)
-97 = 7 + (56 + 32x)

Combine like terms: 7 + 56 = 63
-97 = 63 + 32x

Solving
-97 = 63 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-97 + -32x = 63 + 32x + -32x

Combine like terms: 32x + -32x = 0
-97 + -32x = 63 + 0
-97 + -32x = 63

Add '97' to each side of the equation.
-97 + 97 + -32x = 63 + 97

Combine like terms: -97 + 97 = 0
0 + -32x = 63 + 97
-32x = 63 + 97

Combine like terms: 63 + 97 = 160
-32x = 160

Divide each side by '-32'.
x = -5

Simplifying
x = -5

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