(3x+7).5=x-1

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Solution for (3x+7).5=x-1 equation:


Simplifying
(3x + 7) * 0.5 = x + -1

Reorder the terms:
(7 + 3x) * 0.5 = x + -1

Reorder the terms for easier multiplication:
0.5(7 + 3x) = x + -1
(7 * 0.5 + 3x * 0.5) = x + -1
(3.5 + 1.5x) = x + -1

Reorder the terms:
3.5 + 1.5x = -1 + x

Solving
3.5 + 1.5x = -1 + x

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.
3.5 + 1.5x + -1x = -1 + x + -1x

Combine like terms: 1.5x + -1x = 0.5x
3.5 + 0.5x = -1 + x + -1x

Combine like terms: x + -1x = 0
3.5 + 0.5x = -1 + 0
3.5 + 0.5x = -1

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 0.5x = -1 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 0.5x = -1 + -3.5
0.5x = -1 + -3.5

Combine like terms: -1 + -3.5 = -4.5
0.5x = -4.5

Divide each side by '0.5'.
x = -9

Simplifying
x = -9

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