10+2(x+3)=4(x+4)

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Solution for 10+2(x+3)=4(x+4) equation:


Simplifying
10 + 2(x + 3) = 4(x + 4)

Reorder the terms:
10 + 2(3 + x) = 4(x + 4)
10 + (3 * 2 + x * 2) = 4(x + 4)
10 + (6 + 2x) = 4(x + 4)

Combine like terms: 10 + 6 = 16
16 + 2x = 4(x + 4)

Reorder the terms:
16 + 2x = 4(4 + x)
16 + 2x = (4 * 4 + x * 4)
16 + 2x = (16 + 4x)

Add '-16' to each side of the equation.
16 + -16 + 2x = 16 + -16 + 4x

Combine like terms: 16 + -16 = 0
0 + 2x = 16 + -16 + 4x
2x = 16 + -16 + 4x

Combine like terms: 16 + -16 = 0
2x = 0 + 4x
2x = 4x

Solving
2x = 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.
2x + -4x = 4x + -4x

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

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

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

Simplifying
x = 0

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