.2(2x-5)=3x+7

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Solution for .2(2x-5)=3x+7 equation:


Simplifying
0.2(2x + -5) = 3x + 7

Reorder the terms:
0.2(-5 + 2x) = 3x + 7
(-5 * 0.2 + 2x * 0.2) = 3x + 7
(-1 + 0.4x) = 3x + 7

Reorder the terms:
-1 + 0.4x = 7 + 3x

Solving
-1 + 0.4x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-1 + 0.4x + -3x = 7 + 3x + -3x

Combine like terms: 0.4x + -3x = -2.6x
-1 + -2.6x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-1 + -2.6x = 7 + 0
-1 + -2.6x = 7

Add '1' to each side of the equation.
-1 + 1 + -2.6x = 7 + 1

Combine like terms: -1 + 1 = 0
0 + -2.6x = 7 + 1
-2.6x = 7 + 1

Combine like terms: 7 + 1 = 8
-2.6x = 8

Divide each side by '-2.6'.
x = -3.076923077

Simplifying
x = -3.076923077

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