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

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


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

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

Reorder the terms:
-6 + 6x + -4(-2 + x) = 3
-6 + 6x + (-2 * -4 + x * -4) = 3
-6 + 6x + (8 + -4x) = 3

Reorder the terms:
-6 + 8 + 6x + -4x = 3

Combine like terms: -6 + 8 = 2
2 + 6x + -4x = 3

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

Solving
2 + 2x = 3

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 2x = 3 + -2

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

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

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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