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

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


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

Reorder the terms:
8 + 3 + -4x = 2(x + 5)

Combine like terms: 8 + 3 = 11
11 + -4x = 2(x + 5)

Reorder the terms:
11 + -4x = 2(5 + x)
11 + -4x = (5 * 2 + x * 2)
11 + -4x = (10 + 2x)

Solving
11 + -4x = 10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + -4x + -2x = 10 + 2x + -2x

Combine like terms: -4x + -2x = -6x
11 + -6x = 10 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + -6x = 10 + 0
11 + -6x = 10

Add '-11' to each side of the equation.
11 + -11 + -6x = 10 + -11

Combine like terms: 11 + -11 = 0
0 + -6x = 10 + -11
-6x = 10 + -11

Combine like terms: 10 + -11 = -1
-6x = -1

Divide each side by '-6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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