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

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


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

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

Reorder the terms:
40 + 2x = 4(5 + 3x)
40 + 2x = (5 * 4 + 3x * 4)
40 + 2x = (20 + 12x)

Solving
40 + 2x = 20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
40 + 2x + -12x = 20 + 12x + -12x

Combine like terms: 2x + -12x = -10x
40 + -10x = 20 + 12x + -12x

Combine like terms: 12x + -12x = 0
40 + -10x = 20 + 0
40 + -10x = 20

Add '-40' to each side of the equation.
40 + -40 + -10x = 20 + -40

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

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

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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