5(4x+2)=10(7+5x)

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Solution for 5(4x+2)=10(7+5x) equation:


Simplifying
5(4x + 2) = 10(7 + 5x)

Reorder the terms:
5(2 + 4x) = 10(7 + 5x)
(2 * 5 + 4x * 5) = 10(7 + 5x)
(10 + 20x) = 10(7 + 5x)
10 + 20x = (7 * 10 + 5x * 10)
10 + 20x = (70 + 50x)

Solving
10 + 20x = 70 + 50x

Solving for variable 'x'.

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

Add '-50x' to each side of the equation.
10 + 20x + -50x = 70 + 50x + -50x

Combine like terms: 20x + -50x = -30x
10 + -30x = 70 + 50x + -50x

Combine like terms: 50x + -50x = 0
10 + -30x = 70 + 0
10 + -30x = 70

Add '-10' to each side of the equation.
10 + -10 + -30x = 70 + -10

Combine like terms: 10 + -10 = 0
0 + -30x = 70 + -10
-30x = 70 + -10

Combine like terms: 70 + -10 = 60
-30x = 60

Divide each side by '-30'.
x = -2

Simplifying
x = -2

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