8(x+0.5)=3(x-4.2)+2.6

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Solution for 8(x+0.5)=3(x-4.2)+2.6 equation: 


Simplifying
8(x + 0.5) = 3(x + -4.2) + 2.6

Reorder the terms:
8(0.5 + x) = 3(x + -4.2) + 2.6
(0.5 * 8 + x * 8) = 3(x + -4.2) + 2.6
(4 + 8x) = 3(x + -4.2) + 2.6

Reorder the terms:
4 + 8x = 3(-4.2 + x) + 2.6
4 + 8x = (-4.2 * 3 + x * 3) + 2.6
4 + 8x = (-12.6 + 3x) + 2.6

Reorder the terms:
4 + 8x = -12.6 + 2.6 + 3x

Combine like terms: -12.6 + 2.6 = -10
4 + 8x = -10 + 3x

Solving
4 + 8x = -10 + 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.
4 + 8x + -3x = -10 + 3x + -3x

Combine like terms: 8x + -3x = 5x
4 + 5x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + 5x = -10 + 0
4 + 5x = -10

Add '-4' to each side of the equation.
4 + -4 + 5x = -10 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = -10 + -4
5x = -10 + -4

Combine like terms: -10 + -4 = -14
5x = -14

Divide each side by '5'.
x = -2.8

Simplifying
x = -2.8

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