51=7(-1+2x)+2

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Solution for 51=7(-1+2x)+2 equation:


Simplifying
51 = 7(-1 + 2x) + 2
51 = (-1 * 7 + 2x * 7) + 2
51 = (-7 + 14x) + 2

Reorder the terms:
51 = -7 + 2 + 14x

Combine like terms: -7 + 2 = -5
51 = -5 + 14x

Solving
51 = -5 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
51 + -14x = -5 + 14x + -14x

Combine like terms: 14x + -14x = 0
51 + -14x = -5 + 0
51 + -14x = -5

Add '-51' to each side of the equation.
51 + -51 + -14x = -5 + -51

Combine like terms: 51 + -51 = 0
0 + -14x = -5 + -51
-14x = -5 + -51

Combine like terms: -5 + -51 = -56
-14x = -56

Divide each side by '-14'.
x = 4

Simplifying
x = 4

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