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

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


Simplifying
2(x + -3) + 3(2x + -4) = 0

Reorder the terms:
2(-3 + x) + 3(2x + -4) = 0
(-3 * 2 + x * 2) + 3(2x + -4) = 0
(-6 + 2x) + 3(2x + -4) = 0

Reorder the terms:
-6 + 2x + 3(-4 + 2x) = 0
-6 + 2x + (-4 * 3 + 2x * 3) = 0
-6 + 2x + (-12 + 6x) = 0

Reorder the terms:
-6 + -12 + 2x + 6x = 0

Combine like terms: -6 + -12 = -18
-18 + 2x + 6x = 0

Combine like terms: 2x + 6x = 8x
-18 + 8x = 0

Solving
-18 + 8x = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 8x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 8x = 0 + 18
8x = 0 + 18

Combine like terms: 0 + 18 = 18
8x = 18

Divide each side by '8'.
x = 2.25

Simplifying
x = 2.25

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