3(3-2x)+2(x-1)=10

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Solution for 3(3-2x)+2(x-1)=10 equation:


Simplifying
3(3 + -2x) + 2(x + -1) = 10
(3 * 3 + -2x * 3) + 2(x + -1) = 10
(9 + -6x) + 2(x + -1) = 10

Reorder the terms:
9 + -6x + 2(-1 + x) = 10
9 + -6x + (-1 * 2 + x * 2) = 10
9 + -6x + (-2 + 2x) = 10

Reorder the terms:
9 + -2 + -6x + 2x = 10

Combine like terms: 9 + -2 = 7
7 + -6x + 2x = 10

Combine like terms: -6x + 2x = -4x
7 + -4x = 10

Solving
7 + -4x = 10

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 + -4x = 10 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 10 + -7
-4x = 10 + -7

Combine like terms: 10 + -7 = 3
-4x = 3

Divide each side by '-4'.
x = -0.75

Simplifying
x = -0.75

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