10x*2+20x+30=5(4x+6)

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Solution for 10x*2+20x+30=5(4x+6) equation:


Simplifying
10x * 2 + 20x + 30 = 5(4x + 6)

Reorder the terms for easier multiplication:
10 * 2x + 20x + 30 = 5(4x + 6)

Multiply 10 * 2
20x + 20x + 30 = 5(4x + 6)

Reorder the terms:
30 + 20x + 20x = 5(4x + 6)

Combine like terms: 20x + 20x = 40x
30 + 40x = 5(4x + 6)

Reorder the terms:
30 + 40x = 5(6 + 4x)
30 + 40x = (6 * 5 + 4x * 5)
30 + 40x = (30 + 20x)

Add '-30' to each side of the equation.
30 + -30 + 40x = 30 + -30 + 20x

Combine like terms: 30 + -30 = 0
0 + 40x = 30 + -30 + 20x
40x = 30 + -30 + 20x

Combine like terms: 30 + -30 = 0
40x = 0 + 20x
40x = 20x

Solving
40x = 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
40x + -20x = 20x + -20x

Combine like terms: 40x + -20x = 20x
20x = 20x + -20x

Combine like terms: 20x + -20x = 0
20x = 0

Divide each side by '20'.
x = 0

Simplifying
x = 0

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