2(3x-1)+4x=10(2-3x)+38x

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Solution for 2(3x-1)+4x=10(2-3x)+38x equation:


Simplifying
2(3x + -1) + 4x = 10(2 + -3x) + 38x

Reorder the terms:
2(-1 + 3x) + 4x = 10(2 + -3x) + 38x
(-1 * 2 + 3x * 2) + 4x = 10(2 + -3x) + 38x
(-2 + 6x) + 4x = 10(2 + -3x) + 38x

Combine like terms: 6x + 4x = 10x
-2 + 10x = 10(2 + -3x) + 38x
-2 + 10x = (2 * 10 + -3x * 10) + 38x
-2 + 10x = (20 + -30x) + 38x

Combine like terms: -30x + 38x = 8x
-2 + 10x = 20 + 8x

Solving
-2 + 10x = 20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + 10x + -8x = 20 + 8x + -8x

Combine like terms: 10x + -8x = 2x
-2 + 2x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + 2x = 20 + 0
-2 + 2x = 20

Add '2' to each side of the equation.
-2 + 2 + 2x = 20 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 20 + 2
2x = 20 + 2

Combine like terms: 20 + 2 = 22
2x = 22

Divide each side by '2'.
x = 11

Simplifying
x = 11

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