7x+4(2-x)=3x+5x

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Solution for 7x+4(2-x)=3x+5x equation:


Simplifying
7x + 4(2 + -1x) = 3x + 5x
7x + (2 * 4 + -1x * 4) = 3x + 5x
7x + (8 + -4x) = 3x + 5x

Reorder the terms:
8 + 7x + -4x = 3x + 5x

Combine like terms: 7x + -4x = 3x
8 + 3x = 3x + 5x

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

Solving
8 + 3x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
8 + 3x + -8x = 8x + -8x

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

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

Add '-8' to each side of the equation.
8 + -8 + -5x = 0 + -8

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

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

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6

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