2.6(x+1)=1.8(2x+1)

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Solution for 2.6(x+1)=1.8(2x+1) equation:


Simplifying
2.6(x + 1) = 1.8(2x + 1)

Reorder the terms:
2.6(1 + x) = 1.8(2x + 1)
(1 * 2.6 + x * 2.6) = 1.8(2x + 1)
(2.6 + 2.6x) = 1.8(2x + 1)

Reorder the terms:
2.6 + 2.6x = 1.8(1 + 2x)
2.6 + 2.6x = (1 * 1.8 + 2x * 1.8)
2.6 + 2.6x = (1.8 + 3.6x)

Solving
2.6 + 2.6x = 1.8 + 3.6x

Solving for variable 'x'.

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

Add '-3.6x' to each side of the equation.
2.6 + 2.6x + -3.6x = 1.8 + 3.6x + -3.6x

Combine like terms: 2.6x + -3.6x = -1x
2.6 + -1x = 1.8 + 3.6x + -3.6x

Combine like terms: 3.6x + -3.6x = 0.0
2.6 + -1x = 1.8 + 0.0
2.6 + -1x = 1.8

Add '-2.6' to each side of the equation.
2.6 + -2.6 + -1x = 1.8 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + -1x = 1.8 + -2.6
-1x = 1.8 + -2.6

Combine like terms: 1.8 + -2.6 = -0.8
-1x = -0.8

Divide each side by '-1'.
x = 0.8

Simplifying
x = 0.8

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