4(x-2)+3(2x-1)=6(2+x)

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Solution for 4(x-2)+3(2x-1)=6(2+x) equation:


Simplifying
4(x + -2) + 3(2x + -1) = 6(2 + x)

Reorder the terms:
4(-2 + x) + 3(2x + -1) = 6(2 + x)
(-2 * 4 + x * 4) + 3(2x + -1) = 6(2 + x)
(-8 + 4x) + 3(2x + -1) = 6(2 + x)

Reorder the terms:
-8 + 4x + 3(-1 + 2x) = 6(2 + x)
-8 + 4x + (-1 * 3 + 2x * 3) = 6(2 + x)
-8 + 4x + (-3 + 6x) = 6(2 + x)

Reorder the terms:
-8 + -3 + 4x + 6x = 6(2 + x)

Combine like terms: -8 + -3 = -11
-11 + 4x + 6x = 6(2 + x)

Combine like terms: 4x + 6x = 10x
-11 + 10x = 6(2 + x)
-11 + 10x = (2 * 6 + x * 6)
-11 + 10x = (12 + 6x)

Solving
-11 + 10x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-11 + 10x + -6x = 12 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-11 + 4x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-11 + 4x = 12 + 0
-11 + 4x = 12

Add '11' to each side of the equation.
-11 + 11 + 4x = 12 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = 12 + 11
4x = 12 + 11

Combine like terms: 12 + 11 = 23
4x = 23

Divide each side by '4'.
x = 5.75

Simplifying
x = 5.75

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