7=10-3(x-2)

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Solution for 7=10-3(x-2) equation:


Simplifying
7 = 10 + -3(x + -2)

Reorder the terms:
7 = 10 + -3(-2 + x)
7 = 10 + (-2 * -3 + x * -3)
7 = 10 + (6 + -3x)

Combine like terms: 10 + 6 = 16
7 = 16 + -3x

Solving
7 = 16 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
7 + 3x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
7 + 3x = 16 + 0
7 + 3x = 16

Add '-7' to each side of the equation.
7 + -7 + 3x = 16 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 16 + -7
3x = 16 + -7

Combine like terms: 16 + -7 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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