1.6x-(x-2.8)=(0.2x+1.5)-0.7

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Solution for 1.6x-(x-2.8)=(0.2x+1.5)-0.7 equation:


Simplifying
1.6x + -1(x + -2.8) = (0.2x + 1.5) + -0.7

Reorder the terms:
1.6x + -1(-2.8 + x) = (0.2x + 1.5) + -0.7
1.6x + (-2.8 * -1 + x * -1) = (0.2x + 1.5) + -0.7
1.6x + (2.8 + -1x) = (0.2x + 1.5) + -0.7

Reorder the terms:
2.8 + 1.6x + -1x = (0.2x + 1.5) + -0.7

Combine like terms: 1.6x + -1x = 0.6x
2.8 + 0.6x = (0.2x + 1.5) + -0.7

Reorder the terms:
2.8 + 0.6x = (1.5 + 0.2x) + -0.7

Remove parenthesis around (1.5 + 0.2x)
2.8 + 0.6x = 1.5 + 0.2x + -0.7

Reorder the terms:
2.8 + 0.6x = 1.5 + -0.7 + 0.2x

Combine like terms: 1.5 + -0.7 = 0.8
2.8 + 0.6x = 0.8 + 0.2x

Solving
2.8 + 0.6x = 0.8 + 0.2x

Solving for variable 'x'.

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

Add '-0.2x' to each side of the equation.
2.8 + 0.6x + -0.2x = 0.8 + 0.2x + -0.2x

Combine like terms: 0.6x + -0.2x = 0.4x
2.8 + 0.4x = 0.8 + 0.2x + -0.2x

Combine like terms: 0.2x + -0.2x = 0.0
2.8 + 0.4x = 0.8 + 0.0
2.8 + 0.4x = 0.8

Add '-2.8' to each side of the equation.
2.8 + -2.8 + 0.4x = 0.8 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 0.4x = 0.8 + -2.8
0.4x = 0.8 + -2.8

Combine like terms: 0.8 + -2.8 = -2
0.4x = -2

Divide each side by '0.4'.
x = -5

Simplifying
x = -5

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