0.4x-0.6=0.7(2x-7)-0.9

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Solution for 0.4x-0.6=0.7(2x-7)-0.9 equation:


Simplifying
0.4x + -0.6 = 0.7(2x + -7) + -0.9

Reorder the terms:
-0.6 + 0.4x = 0.7(2x + -7) + -0.9

Reorder the terms:
-0.6 + 0.4x = 0.7(-7 + 2x) + -0.9
-0.6 + 0.4x = (-7 * 0.7 + 2x * 0.7) + -0.9
-0.6 + 0.4x = (-4.9 + 1.4x) + -0.9

Reorder the terms:
-0.6 + 0.4x = -4.9 + -0.9 + 1.4x

Combine like terms: -4.9 + -0.9 = -5.8
-0.6 + 0.4x = -5.8 + 1.4x

Solving
-0.6 + 0.4x = -5.8 + 1.4x

Solving for variable 'x'.

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

Add '-1.4x' to each side of the equation.
-0.6 + 0.4x + -1.4x = -5.8 + 1.4x + -1.4x

Combine like terms: 0.4x + -1.4x = -1x
-0.6 + -1x = -5.8 + 1.4x + -1.4x

Combine like terms: 1.4x + -1.4x = 0.0
-0.6 + -1x = -5.8 + 0.0
-0.6 + -1x = -5.8

Add '0.6' to each side of the equation.
-0.6 + 0.6 + -1x = -5.8 + 0.6

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + -1x = -5.8 + 0.6
-1x = -5.8 + 0.6

Combine like terms: -5.8 + 0.6 = -5.2
-1x = -5.2

Divide each side by '-1'.
x = 5.2

Simplifying
x = 5.2

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