-6(x+3)+4x+5=7x+6

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Solution for -6(x+3)+4x+5=7x+6 equation:


Simplifying
-6(x + 3) + 4x + 5 = 7x + 6

Reorder the terms:
-6(3 + x) + 4x + 5 = 7x + 6
(3 * -6 + x * -6) + 4x + 5 = 7x + 6
(-18 + -6x) + 4x + 5 = 7x + 6

Reorder the terms:
-18 + 5 + -6x + 4x = 7x + 6

Combine like terms: -18 + 5 = -13
-13 + -6x + 4x = 7x + 6

Combine like terms: -6x + 4x = -2x
-13 + -2x = 7x + 6

Reorder the terms:
-13 + -2x = 6 + 7x

Solving
-13 + -2x = 6 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-13 + -2x + -7x = 6 + 7x + -7x

Combine like terms: -2x + -7x = -9x
-13 + -9x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-13 + -9x = 6 + 0
-13 + -9x = 6

Add '13' to each side of the equation.
-13 + 13 + -9x = 6 + 13

Combine like terms: -13 + 13 = 0
0 + -9x = 6 + 13
-9x = 6 + 13

Combine like terms: 6 + 13 = 19
-9x = 19

Divide each side by '-9'.
x = -2.111111111

Simplifying
x = -2.111111111

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