3.6x-1.5+4=0.2(14x+18)+1.3

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Solution for 3.6x-1.5+4=0.2(14x+18)+1.3 equation:


Simplifying
3.6x + -1.5 + 4 = 0.2(14x + 18) + 1.3

Reorder the terms:
-1.5 + 4 + 3.6x = 0.2(14x + 18) + 1.3

Combine like terms: -1.5 + 4 = 2.5
2.5 + 3.6x = 0.2(14x + 18) + 1.3

Reorder the terms:
2.5 + 3.6x = 0.2(18 + 14x) + 1.3
2.5 + 3.6x = (18 * 0.2 + 14x * 0.2) + 1.3
2.5 + 3.6x = (3.6 + 2.8x) + 1.3

Reorder the terms:
2.5 + 3.6x = 3.6 + 1.3 + 2.8x

Combine like terms: 3.6 + 1.3 = 4.9
2.5 + 3.6x = 4.9 + 2.8x

Solving
2.5 + 3.6x = 4.9 + 2.8x

Solving for variable 'x'.

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

Add '-2.8x' to each side of the equation.
2.5 + 3.6x + -2.8x = 4.9 + 2.8x + -2.8x

Combine like terms: 3.6x + -2.8x = 0.8x
2.5 + 0.8x = 4.9 + 2.8x + -2.8x

Combine like terms: 2.8x + -2.8x = 0.0
2.5 + 0.8x = 4.9 + 0.0
2.5 + 0.8x = 4.9

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.8x = 4.9 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.8x = 4.9 + -2.5
0.8x = 4.9 + -2.5

Combine like terms: 4.9 + -2.5 = 2.4
0.8x = 2.4

Divide each side by '0.8'.
x = 3

Simplifying
x = 3

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