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

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


Simplifying
4(2 + -1x) + 3(2x + -5) = 12
(2 * 4 + -1x * 4) + 3(2x + -5) = 12
(8 + -4x) + 3(2x + -5) = 12

Reorder the terms:
8 + -4x + 3(-5 + 2x) = 12
8 + -4x + (-5 * 3 + 2x * 3) = 12
8 + -4x + (-15 + 6x) = 12

Reorder the terms:
8 + -15 + -4x + 6x = 12

Combine like terms: 8 + -15 = -7
-7 + -4x + 6x = 12

Combine like terms: -4x + 6x = 2x
-7 + 2x = 12

Solving
-7 + 2x = 12

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 2x = 12 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = 12 + 7
2x = 12 + 7

Combine like terms: 12 + 7 = 19
2x = 19

Divide each side by '2'.
x = 9.5

Simplifying
x = 9.5

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