10(0.6x+4)=10(0.3x+7)

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Solution for 10(0.6x+4)=10(0.3x+7) equation: 


Simplifying
10(0.6x + 4) = 10(0.3x + 7)

Reorder the terms:
10(4 + 0.6x) = 10(0.3x + 7)
(4 * 10 + 0.6x * 10) = 10(0.3x + 7)
(40 + 6x) = 10(0.3x + 7)

Reorder the terms:
40 + 6x = 10(7 + 0.3x)
40 + 6x = (7 * 10 + 0.3x * 10)
40 + 6x = (70 + 3x)

Solving
40 + 6x = 70 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
40 + 6x + -3x = 70 + 3x + -3x

Combine like terms: 6x + -3x = 3x
40 + 3x = 70 + 3x + -3x

Combine like terms: 3x + -3x = 0
40 + 3x = 70 + 0
40 + 3x = 70

Add '-40' to each side of the equation.
40 + -40 + 3x = 70 + -40

Combine like terms: 40 + -40 = 0
0 + 3x = 70 + -40
3x = 70 + -40

Combine like terms: 70 + -40 = 30
3x = 30

Divide each side by '3'.
x = 10

Simplifying
x = 10

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