3(x-2)-1=-2(4-6)+3

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Solution for 3(x-2)-1=-2(4-6)+3 equation: 


Simplifying
3(x + -2) + -1 = -2(4 + -6) + 3

Reorder the terms:
3(-2 + x) + -1 = -2(4 + -6) + 3
(-2 * 3 + x * 3) + -1 = -2(4 + -6) + 3
(-6 + 3x) + -1 = -2(4 + -6) + 3

Reorder the terms:
-6 + -1 + 3x = -2(4 + -6) + 3

Combine like terms: -6 + -1 = -7
-7 + 3x = -2(4 + -6) + 3

Combine like terms: 4 + -6 = -2
-7 + 3x = -2(-2) + 3

Multiply -2 * -2
-7 + 3x = 4 + 3

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

Solving
-7 + 3x = 7

Solving for variable 'x'.

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

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

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

Combine like terms: 7 + 7 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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