7=5(x-4)+2

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Solution for 7=5(x-4)+2 equation:


Simplifying
7 = 5(x + -4) + 2

Reorder the terms:
7 = 5(-4 + x) + 2
7 = (-4 * 5 + x * 5) + 2
7 = (-20 + 5x) + 2

Reorder the terms:
7 = -20 + 2 + 5x

Combine like terms: -20 + 2 = -18
7 = -18 + 5x

Solving
7 = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
7 + -5x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
7 + -5x = -18 + 0
7 + -5x = -18

Add '-7' to each side of the equation.
7 + -7 + -5x = -18 + -7

Combine like terms: 7 + -7 = 0
0 + -5x = -18 + -7
-5x = -18 + -7

Combine like terms: -18 + -7 = -25
-5x = -25

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

Simplifying
x = 5

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