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

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


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

Reorder the terms:
3(-3 + 2x) + -4(x + -1) = 3
(-3 * 3 + 2x * 3) + -4(x + -1) = 3
(-9 + 6x) + -4(x + -1) = 3

Reorder the terms:
-9 + 6x + -4(-1 + x) = 3
-9 + 6x + (-1 * -4 + x * -4) = 3
-9 + 6x + (4 + -4x) = 3

Reorder the terms:
-9 + 4 + 6x + -4x = 3

Combine like terms: -9 + 4 = -5
-5 + 6x + -4x = 3

Combine like terms: 6x + -4x = 2x
-5 + 2x = 3

Solving
-5 + 2x = 3

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 3 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 3 + 5
2x = 3 + 5

Combine like terms: 3 + 5 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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