3x+40+2x=5(4x+2)

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Solution for 3x+40+2x=5(4x+2) equation:


Simplifying
3x + 40 + 2x = 5(4x + 2)

Reorder the terms:
40 + 3x + 2x = 5(4x + 2)

Combine like terms: 3x + 2x = 5x
40 + 5x = 5(4x + 2)

Reorder the terms:
40 + 5x = 5(2 + 4x)
40 + 5x = (2 * 5 + 4x * 5)
40 + 5x = (10 + 20x)

Solving
40 + 5x = 10 + 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.
40 + 5x + -20x = 10 + 20x + -20x

Combine like terms: 5x + -20x = -15x
40 + -15x = 10 + 20x + -20x

Combine like terms: 20x + -20x = 0
40 + -15x = 10 + 0
40 + -15x = 10

Add '-40' to each side of the equation.
40 + -40 + -15x = 10 + -40

Combine like terms: 40 + -40 = 0
0 + -15x = 10 + -40
-15x = 10 + -40

Combine like terms: 10 + -40 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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