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

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


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

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

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

Combine like terms: -4 + -6 = -10
-10 + 4x + 3x = 2

Combine like terms: 4x + 3x = 7x
-10 + 7x = 2

Solving
-10 + 7x = 2

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 7x = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 2 + 10
7x = 2 + 10

Combine like terms: 2 + 10 = 12
7x = 12

Divide each side by '7'.
x = 1.714285714

Simplifying
x = 1.714285714

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