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

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


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

Reorder the terms:
12 + 5x + -8x = 2 + x

Combine like terms: 5x + -8x = -3x
12 + -3x = 2 + x

Solving
12 + -3x = 2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + -3x + -1x = 2 + x + -1x

Combine like terms: -3x + -1x = -4x
12 + -4x = 2 + x + -1x

Combine like terms: x + -1x = 0
12 + -4x = 2 + 0
12 + -4x = 2

Add '-12' to each side of the equation.
12 + -12 + -4x = 2 + -12

Combine like terms: 12 + -12 = 0
0 + -4x = 2 + -12
-4x = 2 + -12

Combine like terms: 2 + -12 = -10
-4x = -10

Divide each side by '-4'.
x = 2.5

Simplifying
x = 2.5

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