5(x-3)+2x=4(13-2x)

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Solution for 5(x-3)+2x=4(13-2x) equation:


Simplifying
5(x + -3) + 2x = 4(13 + -2x)

Reorder the terms:
5(-3 + x) + 2x = 4(13 + -2x)
(-3 * 5 + x * 5) + 2x = 4(13 + -2x)
(-15 + 5x) + 2x = 4(13 + -2x)

Combine like terms: 5x + 2x = 7x
-15 + 7x = 4(13 + -2x)
-15 + 7x = (13 * 4 + -2x * 4)
-15 + 7x = (52 + -8x)

Solving
-15 + 7x = 52 + -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.
-15 + 7x + 8x = 52 + -8x + 8x

Combine like terms: 7x + 8x = 15x
-15 + 15x = 52 + -8x + 8x

Combine like terms: -8x + 8x = 0
-15 + 15x = 52 + 0
-15 + 15x = 52

Add '15' to each side of the equation.
-15 + 15 + 15x = 52 + 15

Combine like terms: -15 + 15 = 0
0 + 15x = 52 + 15
15x = 52 + 15

Combine like terms: 52 + 15 = 67
15x = 67

Divide each side by '15'.
x = 4.466666667

Simplifying
x = 4.466666667

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