7=3(x-7)+10

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


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

Reorder the terms:
7 = 3(-7 + x) + 10
7 = (-7 * 3 + x * 3) + 10
7 = (-21 + 3x) + 10

Reorder the terms:
7 = -21 + 10 + 3x

Combine like terms: -21 + 10 = -11
7 = -11 + 3x

Solving
7 = -11 + 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 = -11 + 3x + -3x

Combine like terms: 3x + -3x = 0
7 + -3x = -11 + 0
7 + -3x = -11

Add '-7' to each side of the equation.
7 + -7 + -3x = -11 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = -11 + -7
-3x = -11 + -7

Combine like terms: -11 + -7 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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