2(3x-2)-3=2(x-4)+33

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Solution for 2(3x-2)-3=2(x-4)+33 equation:


Simplifying
2(3x + -2) + -3 = 2(x + -4) + 33

Reorder the terms:
2(-2 + 3x) + -3 = 2(x + -4) + 33
(-2 * 2 + 3x * 2) + -3 = 2(x + -4) + 33
(-4 + 6x) + -3 = 2(x + -4) + 33

Reorder the terms:
-4 + -3 + 6x = 2(x + -4) + 33

Combine like terms: -4 + -3 = -7
-7 + 6x = 2(x + -4) + 33

Reorder the terms:
-7 + 6x = 2(-4 + x) + 33
-7 + 6x = (-4 * 2 + x * 2) + 33
-7 + 6x = (-8 + 2x) + 33

Reorder the terms:
-7 + 6x = -8 + 33 + 2x

Combine like terms: -8 + 33 = 25
-7 + 6x = 25 + 2x

Solving
-7 + 6x = 25 + 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.
-7 + 6x + -2x = 25 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-7 + 4x = 25 + 2x + -2x

Combine like terms: 2x + -2x = 0
-7 + 4x = 25 + 0
-7 + 4x = 25

Add '7' to each side of the equation.
-7 + 7 + 4x = 25 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 25 + 7
4x = 25 + 7

Combine like terms: 25 + 7 = 32
4x = 32

Divide each side by '4'.
x = 8

Simplifying
x = 8

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