2x-3+6x=4(3x-2)+3

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Solution for 2x-3+6x=4(3x-2)+3 equation: 


Simplifying
2x + -3 + 6x = 4(3x + -2) + 3

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

Combine like terms: 2x + 6x = 8x
-3 + 8x = 4(3x + -2) + 3

Reorder the terms:
-3 + 8x = 4(-2 + 3x) + 3
-3 + 8x = (-2 * 4 + 3x * 4) + 3
-3 + 8x = (-8 + 12x) + 3

Reorder the terms:
-3 + 8x = -8 + 3 + 12x

Combine like terms: -8 + 3 = -5
-3 + 8x = -5 + 12x

Solving
-3 + 8x = -5 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-3 + 8x + -12x = -5 + 12x + -12x

Combine like terms: 8x + -12x = -4x
-3 + -4x = -5 + 12x + -12x

Combine like terms: 12x + -12x = 0
-3 + -4x = -5 + 0
-3 + -4x = -5

Add '3' to each side of the equation.
-3 + 3 + -4x = -5 + 3

Combine like terms: -3 + 3 = 0
0 + -4x = -5 + 3
-4x = -5 + 3

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

Divide each side by '-4'.
x = 0.5

Simplifying
x = 0.5

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