7(x-7)-8=16x-93

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Solution for 7(x-7)-8=16x-93 equation:


Simplifying
7(x + -7) + -8 = 16x + -93

Reorder the terms:
7(-7 + x) + -8 = 16x + -93
(-7 * 7 + x * 7) + -8 = 16x + -93
(-49 + 7x) + -8 = 16x + -93

Reorder the terms:
-49 + -8 + 7x = 16x + -93

Combine like terms: -49 + -8 = -57
-57 + 7x = 16x + -93

Reorder the terms:
-57 + 7x = -93 + 16x

Solving
-57 + 7x = -93 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-57 + 7x + -16x = -93 + 16x + -16x

Combine like terms: 7x + -16x = -9x
-57 + -9x = -93 + 16x + -16x

Combine like terms: 16x + -16x = 0
-57 + -9x = -93 + 0
-57 + -9x = -93

Add '57' to each side of the equation.
-57 + 57 + -9x = -93 + 57

Combine like terms: -57 + 57 = 0
0 + -9x = -93 + 57
-9x = -93 + 57

Combine like terms: -93 + 57 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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