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

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


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

Reorder the terms:
5(-3 + x) = 3x + 4 + 2(5 + -1x)
(-3 * 5 + x * 5) = 3x + 4 + 2(5 + -1x)
(-15 + 5x) = 3x + 4 + 2(5 + -1x)
-15 + 5x = 3x + 4 + (5 * 2 + -1x * 2)
-15 + 5x = 3x + 4 + (10 + -2x)

Reorder the terms:
-15 + 5x = 4 + 10 + 3x + -2x

Combine like terms: 4 + 10 = 14
-15 + 5x = 14 + 3x + -2x

Combine like terms: 3x + -2x = 1x
-15 + 5x = 14 + 1x

Solving
-15 + 5x = 14 + 1x

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.
-15 + 5x + -1x = 14 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-15 + 4x = 14 + 1x + -1x

Combine like terms: 1x + -1x = 0
-15 + 4x = 14 + 0
-15 + 4x = 14

Add '15' to each side of the equation.
-15 + 15 + 4x = 14 + 15

Combine like terms: -15 + 15 = 0
0 + 4x = 14 + 15
4x = 14 + 15

Combine like terms: 14 + 15 = 29
4x = 29

Divide each side by '4'.
x = 7.25

Simplifying
x = 7.25

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