3(x-2)-4(5-3x)=4

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Solution for 3(x-2)-4(5-3x)=4 equation: 


Simplifying
3(x + -2) + -4(5 + -3x) = 4

Reorder the terms:
3(-2 + x) + -4(5 + -3x) = 4
(-2 * 3 + x * 3) + -4(5 + -3x) = 4
(-6 + 3x) + -4(5 + -3x) = 4
-6 + 3x + (5 * -4 + -3x * -4) = 4
-6 + 3x + (-20 + 12x) = 4

Reorder the terms:
-6 + -20 + 3x + 12x = 4

Combine like terms: -6 + -20 = -26
-26 + 3x + 12x = 4

Combine like terms: 3x + 12x = 15x
-26 + 15x = 4

Solving
-26 + 15x = 4

Solving for variable 'x'.

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

Add '26' to each side of the equation.
-26 + 26 + 15x = 4 + 26

Combine like terms: -26 + 26 = 0
0 + 15x = 4 + 26
15x = 4 + 26

Combine like terms: 4 + 26 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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