164=7(5x-7)+3

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Solution for 164=7(5x-7)+3 equation:


Simplifying
164 = 7(5x + -7) + 3

Reorder the terms:
164 = 7(-7 + 5x) + 3
164 = (-7 * 7 + 5x * 7) + 3
164 = (-49 + 35x) + 3

Reorder the terms:
164 = -49 + 3 + 35x

Combine like terms: -49 + 3 = -46
164 = -46 + 35x

Solving
164 = -46 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
164 + -35x = -46 + 35x + -35x

Combine like terms: 35x + -35x = 0
164 + -35x = -46 + 0
164 + -35x = -46

Add '-164' to each side of the equation.
164 + -164 + -35x = -46 + -164

Combine like terms: 164 + -164 = 0
0 + -35x = -46 + -164
-35x = -46 + -164

Combine like terms: -46 + -164 = -210
-35x = -210

Divide each side by '-35'.
x = 6

Simplifying
x = 6

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