2(x+4)+10=4(x-5)+28

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Solution for 2(x+4)+10=4(x-5)+28 equation:


Simplifying
2(x + 4) + 10 = 4(x + -5) + 28

Reorder the terms:
2(4 + x) + 10 = 4(x + -5) + 28
(4 * 2 + x * 2) + 10 = 4(x + -5) + 28
(8 + 2x) + 10 = 4(x + -5) + 28

Reorder the terms:
8 + 10 + 2x = 4(x + -5) + 28

Combine like terms: 8 + 10 = 18
18 + 2x = 4(x + -5) + 28

Reorder the terms:
18 + 2x = 4(-5 + x) + 28
18 + 2x = (-5 * 4 + x * 4) + 28
18 + 2x = (-20 + 4x) + 28

Reorder the terms:
18 + 2x = -20 + 28 + 4x

Combine like terms: -20 + 28 = 8
18 + 2x = 8 + 4x

Solving
18 + 2x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
18 + 2x + -4x = 8 + 4x + -4x

Combine like terms: 2x + -4x = -2x
18 + -2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -2x = 8 + 0
18 + -2x = 8

Add '-18' to each side of the equation.
18 + -18 + -2x = 8 + -18

Combine like terms: 18 + -18 = 0
0 + -2x = 8 + -18
-2x = 8 + -18

Combine like terms: 8 + -18 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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