.2(x-7)=5x-4(x-1)+2.6

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Solution for .2(x-7)=5x-4(x-1)+2.6 equation:


Simplifying
0.2(x + -7) = 5x + -4(x + -1) + 2.6

Reorder the terms:
0.2(-7 + x) = 5x + -4(x + -1) + 2.6
(-7 * 0.2 + x * 0.2) = 5x + -4(x + -1) + 2.6
(-1.4 + 0.2x) = 5x + -4(x + -1) + 2.6

Reorder the terms:
-1.4 + 0.2x = 5x + -4(-1 + x) + 2.6
-1.4 + 0.2x = 5x + (-1 * -4 + x * -4) + 2.6
-1.4 + 0.2x = 5x + (4 + -4x) + 2.6

Reorder the terms:
-1.4 + 0.2x = 4 + 2.6 + 5x + -4x

Combine like terms: 4 + 2.6 = 6.6
-1.4 + 0.2x = 6.6 + 5x + -4x

Combine like terms: 5x + -4x = 1x
-1.4 + 0.2x = 6.6 + 1x

Solving
-1.4 + 0.2x = 6.6 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1.4 + 0.2x + -1x = 6.6 + 1x + -1x

Combine like terms: 0.2x + -1x = -0.8x
-1.4 + -0.8x = 6.6 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1.4 + -0.8x = 6.6 + 0
-1.4 + -0.8x = 6.6

Add '1.4' to each side of the equation.
-1.4 + 1.4 + -0.8x = 6.6 + 1.4

Combine like terms: -1.4 + 1.4 = 0.0
0.0 + -0.8x = 6.6 + 1.4
-0.8x = 6.6 + 1.4

Combine like terms: 6.6 + 1.4 = 8
-0.8x = 8

Divide each side by '-0.8'.
x = -10

Simplifying
x = -10

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