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

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


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

Reorder the terms:
8 + 3x + -4x = 4x + 5

Combine like terms: 3x + -4x = -1x
8 + -1x = 4x + 5

Reorder the terms:
8 + -1x = 5 + 4x

Solving
8 + -1x = 5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
8 + -1x + -4x = 5 + 4x + -4x

Combine like terms: -1x + -4x = -5x
8 + -5x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -5x = 5 + 0
8 + -5x = 5

Add '-8' to each side of the equation.
8 + -8 + -5x = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 5 + -8
-5x = 5 + -8

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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