4(x+5)+8=6(x+3)+10

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Solution for 4(x+5)+8=6(x+3)+10 equation:


Simplifying
4(x + 5) + 8 = 6(x + 3) + 10

Reorder the terms:
4(5 + x) + 8 = 6(x + 3) + 10
(5 * 4 + x * 4) + 8 = 6(x + 3) + 10
(20 + 4x) + 8 = 6(x + 3) + 10

Reorder the terms:
20 + 8 + 4x = 6(x + 3) + 10

Combine like terms: 20 + 8 = 28
28 + 4x = 6(x + 3) + 10

Reorder the terms:
28 + 4x = 6(3 + x) + 10
28 + 4x = (3 * 6 + x * 6) + 10
28 + 4x = (18 + 6x) + 10

Reorder the terms:
28 + 4x = 18 + 10 + 6x

Combine like terms: 18 + 10 = 28
28 + 4x = 28 + 6x

Add '-28' to each side of the equation.
28 + -28 + 4x = 28 + -28 + 6x

Combine like terms: 28 + -28 = 0
0 + 4x = 28 + -28 + 6x
4x = 28 + -28 + 6x

Combine like terms: 28 + -28 = 0
4x = 0 + 6x
4x = 6x

Solving
4x = 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
4x + -6x = 6x + -6x

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

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

Divide each side by '-2'.
x = 0

Simplifying
x = 0

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