6x-7+3(x+1)=4x-6

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Solution for 6x-7+3(x+1)=4x-6 equation:


Simplifying
6x + -7 + 3(x + 1) = 4x + -6

Reorder the terms:
6x + -7 + 3(1 + x) = 4x + -6
6x + -7 + (1 * 3 + x * 3) = 4x + -6
6x + -7 + (3 + 3x) = 4x + -6

Reorder the terms:
-7 + 3 + 6x + 3x = 4x + -6

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

Combine like terms: 6x + 3x = 9x
-4 + 9x = 4x + -6

Reorder the terms:
-4 + 9x = -6 + 4x

Solving
-4 + 9x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-4 + 9x + -4x = -6 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-4 + 5x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + 5x = -6 + 0
-4 + 5x = -6

Add '4' to each side of the equation.
-4 + 4 + 5x = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -6 + 4
5x = -6 + 4

Combine like terms: -6 + 4 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4

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