7=3+2(x-1)

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Solution for 7=3+2(x-1) equation:


Simplifying
7 = 3 + 2(x + -1)

Reorder the terms:
7 = 3 + 2(-1 + x)
7 = 3 + (-1 * 2 + x * 2)
7 = 3 + (-2 + 2x)

Combine like terms: 3 + -2 = 1
7 = 1 + 2x

Solving
7 = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
7 + -2x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + -2x = 1 + 0
7 + -2x = 1

Add '-7' to each side of the equation.
7 + -7 + -2x = 1 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 1 + -7
-2x = 1 + -7

Combine like terms: 1 + -7 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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