(3x+1)-(7x-2)=6x-3

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Solution for (3x+1)-(7x-2)=6x-3 equation:


Simplifying
(3x + 1) + -1(7x + -2) = 6x + -3

Reorder the terms:
(1 + 3x) + -1(7x + -2) = 6x + -3

Remove parenthesis around (1 + 3x)
1 + 3x + -1(7x + -2) = 6x + -3

Reorder the terms:
1 + 3x + -1(-2 + 7x) = 6x + -3
1 + 3x + (-2 * -1 + 7x * -1) = 6x + -3
1 + 3x + (2 + -7x) = 6x + -3

Reorder the terms:
1 + 2 + 3x + -7x = 6x + -3

Combine like terms: 1 + 2 = 3
3 + 3x + -7x = 6x + -3

Combine like terms: 3x + -7x = -4x
3 + -4x = 6x + -3

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

Solving
3 + -4x = -3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3 + -4x + -6x = -3 + 6x + -6x

Combine like terms: -4x + -6x = -10x
3 + -10x = -3 + 6x + -6x

Combine like terms: 6x + -6x = 0
3 + -10x = -3 + 0
3 + -10x = -3

Add '-3' to each side of the equation.
3 + -3 + -10x = -3 + -3

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

Combine like terms: -3 + -3 = -6
-10x = -6

Divide each side by '-10'.
x = 0.6

Simplifying
x = 0.6

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