7.9-2.6x=1.5x-(9.1+2.1x)

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Solution for 7.9-2.6x=1.5x-(9.1+2.1x) equation:


Simplifying
7.9 + -2.6x = 1.5x + -1(9.1 + 2.1x)
7.9 + -2.6x = 1.5x + (9.1 * -1 + 2.1x * -1)
7.9 + -2.6x = 1.5x + (-9.1 + -2.1x)

Reorder the terms:
7.9 + -2.6x = -9.1 + 1.5x + -2.1x

Combine like terms: 1.5x + -2.1x = -0.6x
7.9 + -2.6x = -9.1 + -0.6x

Solving
7.9 + -2.6x = -9.1 + -0.6x

Solving for variable 'x'.

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

Add '0.6x' to each side of the equation.
7.9 + -2.6x + 0.6x = -9.1 + -0.6x + 0.6x

Combine like terms: -2.6x + 0.6x = -2x
7.9 + -2x = -9.1 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
7.9 + -2x = -9.1 + 0.0
7.9 + -2x = -9.1

Add '-7.9' to each side of the equation.
7.9 + -7.9 + -2x = -9.1 + -7.9

Combine like terms: 7.9 + -7.9 = 0.0
0.0 + -2x = -9.1 + -7.9
-2x = -9.1 + -7.9

Combine like terms: -9.1 + -7.9 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

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