6x-4(x-1)+3x=-61

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Solution for 6x-4(x-1)+3x=-61 equation:


Simplifying
6x + -4(x + -1) + 3x = -61

Reorder the terms:
6x + -4(-1 + x) + 3x = -61
6x + (-1 * -4 + x * -4) + 3x = -61
6x + (4 + -4x) + 3x = -61

Reorder the terms:
4 + 6x + -4x + 3x = -61

Combine like terms: 6x + -4x = 2x
4 + 2x + 3x = -61

Combine like terms: 2x + 3x = 5x
4 + 5x = -61

Solving
4 + 5x = -61

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 5x = -61 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = -61 + -4
5x = -61 + -4

Combine like terms: -61 + -4 = -65
5x = -65

Divide each side by '5'.
x = -13

Simplifying
x = -13

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