3(2x-1)-2(x+15)=2x-4

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Solution for 3(2x-1)-2(x+15)=2x-4 equation:


Simplifying
3(2x + -1) + -2(x + 15) = 2x + -4

Reorder the terms:
3(-1 + 2x) + -2(x + 15) = 2x + -4
(-1 * 3 + 2x * 3) + -2(x + 15) = 2x + -4
(-3 + 6x) + -2(x + 15) = 2x + -4

Reorder the terms:
-3 + 6x + -2(15 + x) = 2x + -4
-3 + 6x + (15 * -2 + x * -2) = 2x + -4
-3 + 6x + (-30 + -2x) = 2x + -4

Reorder the terms:
-3 + -30 + 6x + -2x = 2x + -4

Combine like terms: -3 + -30 = -33
-33 + 6x + -2x = 2x + -4

Combine like terms: 6x + -2x = 4x
-33 + 4x = 2x + -4

Reorder the terms:
-33 + 4x = -4 + 2x

Solving
-33 + 4x = -4 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-33 + 4x + -2x = -4 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-33 + 2x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-33 + 2x = -4 + 0
-33 + 2x = -4

Add '33' to each side of the equation.
-33 + 33 + 2x = -4 + 33

Combine like terms: -33 + 33 = 0
0 + 2x = -4 + 33
2x = -4 + 33

Combine like terms: -4 + 33 = 29
2x = 29

Divide each side by '2'.
x = 14.5

Simplifying
x = 14.5

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