2(3x-4)+5(8-2x)=12

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Solution for 2(3x-4)+5(8-2x)=12 equation:


Simplifying
2(3x + -4) + 5(8 + -2x) = 12

Reorder the terms:
2(-4 + 3x) + 5(8 + -2x) = 12
(-4 * 2 + 3x * 2) + 5(8 + -2x) = 12
(-8 + 6x) + 5(8 + -2x) = 12
-8 + 6x + (8 * 5 + -2x * 5) = 12
-8 + 6x + (40 + -10x) = 12

Reorder the terms:
-8 + 40 + 6x + -10x = 12

Combine like terms: -8 + 40 = 32
32 + 6x + -10x = 12

Combine like terms: 6x + -10x = -4x
32 + -4x = 12

Solving
32 + -4x = 12

Solving for variable 'x'.

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

Add '-32' to each side of the equation.
32 + -32 + -4x = 12 + -32

Combine like terms: 32 + -32 = 0
0 + -4x = 12 + -32
-4x = 12 + -32

Combine like terms: 12 + -32 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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