3(2x-0.7)+1.9=5x-8.4

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Solution for 3(2x-0.7)+1.9=5x-8.4 equation:


Simplifying
3(2x + -0.7) + 1.9 = 5x + -8.4

Reorder the terms:
3(-0.7 + 2x) + 1.9 = 5x + -8.4
(-0.7 * 3 + 2x * 3) + 1.9 = 5x + -8.4
(-2.1 + 6x) + 1.9 = 5x + -8.4

Reorder the terms:
-2.1 + 1.9 + 6x = 5x + -8.4

Combine like terms: -2.1 + 1.9 = -0.2
-0.2 + 6x = 5x + -8.4

Reorder the terms:
-0.2 + 6x = -8.4 + 5x

Solving
-0.2 + 6x = -8.4 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-0.2 + 6x + -5x = -8.4 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-0.2 + 1x = -8.4 + 5x + -5x

Combine like terms: 5x + -5x = 0
-0.2 + 1x = -8.4 + 0
-0.2 + 1x = -8.4

Add '0.2' to each side of the equation.
-0.2 + 0.2 + 1x = -8.4 + 0.2

Combine like terms: -0.2 + 0.2 = 0.0
0.0 + 1x = -8.4 + 0.2
1x = -8.4 + 0.2

Combine like terms: -8.4 + 0.2 = -8.2
1x = -8.2

Divide each side by '1'.
x = -8.2

Simplifying
x = -8.2

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