0.4(10x+15)=18-4(x-3)

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Solution for 0.4(10x+15)=18-4(x-3) equation:


Simplifying
0.4(10x + 15) = 18 + -4(x + -3)

Reorder the terms:
0.4(15 + 10x) = 18 + -4(x + -3)
(15 * 0.4 + 10x * 0.4) = 18 + -4(x + -3)
(6 + 4x) = 18 + -4(x + -3)

Reorder the terms:
6 + 4x = 18 + -4(-3 + x)
6 + 4x = 18 + (-3 * -4 + x * -4)
6 + 4x = 18 + (12 + -4x)

Combine like terms: 18 + 12 = 30
6 + 4x = 30 + -4x

Solving
6 + 4x = 30 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 4x + 4x = 30 + -4x + 4x

Combine like terms: 4x + 4x = 8x
6 + 8x = 30 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 8x = 30 + 0
6 + 8x = 30

Add '-6' to each side of the equation.
6 + -6 + 8x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 30 + -6
8x = 30 + -6

Combine like terms: 30 + -6 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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