2.6x+4=0.2(3x+2)+1.6

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Solution for 2.6x+4=0.2(3x+2)+1.6 equation:


Simplifying
2.6x + 4 = 0.2(3x + 2) + 1.6

Reorder the terms:
4 + 2.6x = 0.2(3x + 2) + 1.6

Reorder the terms:
4 + 2.6x = 0.2(2 + 3x) + 1.6
4 + 2.6x = (2 * 0.2 + 3x * 0.2) + 1.6
4 + 2.6x = (0.4 + 0.6x) + 1.6

Reorder the terms:
4 + 2.6x = 0.4 + 1.6 + 0.6x

Combine like terms: 0.4 + 1.6 = 2
4 + 2.6x = 2 + 0.6x

Solving
4 + 2.6x = 2 + 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.
4 + 2.6x + -0.6x = 2 + 0.6x + -0.6x

Combine like terms: 2.6x + -0.6x = 2x
4 + 2x = 2 + 0.6x + -0.6x

Combine like terms: 0.6x + -0.6x = 0.0
4 + 2x = 2 + 0.0
4 + 2x = 2

Add '-4' to each side of the equation.
4 + -4 + 2x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 2x = 2 + -4
2x = 2 + -4

Combine like terms: 2 + -4 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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