x+.15x+2.4=2(x-1.3)

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Solution for x+.15x+2.4=2(x-1.3) equation:


Simplifying
x + 0.15x + 2.4 = 2(x + -1.3)

Reorder the terms:
2.4 + x + 0.15x = 2(x + -1.3)

Combine like terms: x + 0.15x = 1.15x
2.4 + 1.15x = 2(x + -1.3)

Reorder the terms:
2.4 + 1.15x = 2(-1.3 + x)
2.4 + 1.15x = (-1.3 * 2 + x * 2)
2.4 + 1.15x = (-2.6 + 2x)

Solving
2.4 + 1.15x = -2.6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
2.4 + 1.15x + -2x = -2.6 + 2x + -2x

Combine like terms: 1.15x + -2x = -0.85x
2.4 + -0.85x = -2.6 + 2x + -2x

Combine like terms: 2x + -2x = 0
2.4 + -0.85x = -2.6 + 0
2.4 + -0.85x = -2.6

Add '-2.4' to each side of the equation.
2.4 + -2.4 + -0.85x = -2.6 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + -0.85x = -2.6 + -2.4
-0.85x = -2.6 + -2.4

Combine like terms: -2.6 + -2.4 = -5
-0.85x = -5

Divide each side by '-0.85'.
x = 5.882352941

Simplifying
x = 5.882352941

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