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

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


Simplifying
4(5 + -1x) + 6 = 2x + -1(x + 3)
(5 * 4 + -1x * 4) + 6 = 2x + -1(x + 3)
(20 + -4x) + 6 = 2x + -1(x + 3)

Reorder the terms:
20 + 6 + -4x = 2x + -1(x + 3)

Combine like terms: 20 + 6 = 26
26 + -4x = 2x + -1(x + 3)

Reorder the terms:
26 + -4x = 2x + -1(3 + x)
26 + -4x = 2x + (3 * -1 + x * -1)
26 + -4x = 2x + (-3 + -1x)

Reorder the terms:
26 + -4x = -3 + 2x + -1x

Combine like terms: 2x + -1x = 1x
26 + -4x = -3 + 1x

Solving
26 + -4x = -3 + 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.
26 + -4x + -1x = -3 + 1x + -1x

Combine like terms: -4x + -1x = -5x
26 + -5x = -3 + 1x + -1x

Combine like terms: 1x + -1x = 0
26 + -5x = -3 + 0
26 + -5x = -3

Add '-26' to each side of the equation.
26 + -26 + -5x = -3 + -26

Combine like terms: 26 + -26 = 0
0 + -5x = -3 + -26
-5x = -3 + -26

Combine like terms: -3 + -26 = -29
-5x = -29

Divide each side by '-5'.
x = 5.8

Simplifying
x = 5.8

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