0.7(3x-2)-(5x+1)=0.5

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Solution for 0.7(3x-2)-(5x+1)=0.5 equation: 


Simplifying
0.7(3x + -2) + -1(5x + 1) = 0.5

Reorder the terms:
0.7(-2 + 3x) + -1(5x + 1) = 0.5
(-2 * 0.7 + 3x * 0.7) + -1(5x + 1) = 0.5
(-1.4 + 2.1x) + -1(5x + 1) = 0.5

Reorder the terms:
-1.4 + 2.1x + -1(1 + 5x) = 0.5
-1.4 + 2.1x + (1 * -1 + 5x * -1) = 0.5
-1.4 + 2.1x + (-1 + -5x) = 0.5

Reorder the terms:
-1.4 + -1 + 2.1x + -5x = 0.5

Combine like terms: -1.4 + -1 = -2.4
-2.4 + 2.1x + -5x = 0.5

Combine like terms: 2.1x + -5x = -2.9x
-2.4 + -2.9x = 0.5

Solving
-2.4 + -2.9x = 0.5

Solving for variable 'x'.

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

Add '2.4' to each side of the equation.
-2.4 + 2.4 + -2.9x = 0.5 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + -2.9x = 0.5 + 2.4
-2.9x = 0.5 + 2.4

Combine like terms: 0.5 + 2.4 = 2.9
-2.9x = 2.9

Divide each side by '-2.9'.
x = -1

Simplifying
x = -1

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