4.6x+15=2.2x-3

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Solution for 4.6x+15=2.2x-3 equation:


Simplifying
4.6x + 15 = 2.2x + -3

Reorder the terms:
15 + 4.6x = 2.2x + -3

Reorder the terms:
15 + 4.6x = -3 + 2.2x

Solving
15 + 4.6x = -3 + 2.2x

Solving for variable 'x'.

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

Add '-2.2x' to each side of the equation.
15 + 4.6x + -2.2x = -3 + 2.2x + -2.2x

Combine like terms: 4.6x + -2.2x = 2.4x
15 + 2.4x = -3 + 2.2x + -2.2x

Combine like terms: 2.2x + -2.2x = 0.0
15 + 2.4x = -3 + 0.0
15 + 2.4x = -3

Add '-15' to each side of the equation.
15 + -15 + 2.4x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 2.4x = -3 + -15
2.4x = -3 + -15

Combine like terms: -3 + -15 = -18
2.4x = -18

Divide each side by '2.4'.
x = -7.5

Simplifying
x = -7.5

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