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

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


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

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

Reorder the terms:
-3 + 3x = 2(-2 + x) + 7
-3 + 3x = (-2 * 2 + x * 2) + 7
-3 + 3x = (-4 + 2x) + 7

Reorder the terms:
-3 + 3x = -4 + 7 + 2x

Combine like terms: -4 + 7 = 3
-3 + 3x = 3 + 2x

Solving
-3 + 3x = 3 + 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.
-3 + 3x + -2x = 3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-3 + 1x = 3 + 0
-3 + 1x = 3

Add '3' to each side of the equation.
-3 + 3 + 1x = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 3 + 3
1x = 3 + 3

Combine like terms: 3 + 3 = 6
1x = 6

Divide each side by '1'.
x = 6

Simplifying
x = 6

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