6+2(4-x)=5(x-3)

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Solution for 6+2(4-x)=5(x-3) equation:


Simplifying
6 + 2(4 + -1x) = 5(x + -3)
6 + (4 * 2 + -1x * 2) = 5(x + -3)
6 + (8 + -2x) = 5(x + -3)

Combine like terms: 6 + 8 = 14
14 + -2x = 5(x + -3)

Reorder the terms:
14 + -2x = 5(-3 + x)
14 + -2x = (-3 * 5 + x * 5)
14 + -2x = (-15 + 5x)

Solving
14 + -2x = -15 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
14 + -2x + -5x = -15 + 5x + -5x

Combine like terms: -2x + -5x = -7x
14 + -7x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
14 + -7x = -15 + 0
14 + -7x = -15

Add '-14' to each side of the equation.
14 + -14 + -7x = -15 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = -15 + -14
-7x = -15 + -14

Combine like terms: -15 + -14 = -29
-7x = -29

Divide each side by '-7'.
x = 4.142857143

Simplifying
x = 4.142857143

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