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

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


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

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

Combine like terms: 3x + 4x = 7x
-6 + 7x = 4(2x + -1)

Reorder the terms:
-6 + 7x = 4(-1 + 2x)
-6 + 7x = (-1 * 4 + 2x * 4)
-6 + 7x = (-4 + 8x)

Solving
-6 + 7x = -4 + 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.
-6 + 7x + -8x = -4 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-6 + -1x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-6 + -1x = -4 + 0
-6 + -1x = -4

Add '6' to each side of the equation.
-6 + 6 + -1x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = -4 + 6
-1x = -4 + 6

Combine like terms: -4 + 6 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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