0.6(5x+15)=2.9-(x+3)

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Solution for 0.6(5x+15)=2.9-(x+3) equation:


Simplifying
0.6(5x + 15) = 2.9 + -1(x + 3)

Reorder the terms:
0.6(15 + 5x) = 2.9 + -1(x + 3)
(15 * 0.6 + 5x * 0.6) = 2.9 + -1(x + 3)
(9 + 3x) = 2.9 + -1(x + 3)

Reorder the terms:
9 + 3x = 2.9 + -1(3 + x)
9 + 3x = 2.9 + (3 * -1 + x * -1)
9 + 3x = 2.9 + (-3 + -1x)

Combine like terms: 2.9 + -3 = -0.1
9 + 3x = -0.1 + -1x

Solving
9 + 3x = -0.1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
9 + 3x + x = -0.1 + -1x + x

Combine like terms: 3x + x = 4x
9 + 4x = -0.1 + -1x + x

Combine like terms: -1x + x = 0
9 + 4x = -0.1 + 0
9 + 4x = -0.1

Add '-9' to each side of the equation.
9 + -9 + 4x = -0.1 + -9

Combine like terms: 9 + -9 = 0
0 + 4x = -0.1 + -9
4x = -0.1 + -9

Combine like terms: -0.1 + -9 = -9.1
4x = -9.1

Divide each side by '4'.
x = -2.275

Simplifying
x = -2.275

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