6-(3x+7)=4x-5+3x-9

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Solution for 6-(3x+7)=4x-5+3x-9 equation:


Simplifying
6 + -1(3x + 7) = 4x + -5 + 3x + -9

Reorder the terms:
6 + -1(7 + 3x) = 4x + -5 + 3x + -9
6 + (7 * -1 + 3x * -1) = 4x + -5 + 3x + -9
6 + (-7 + -3x) = 4x + -5 + 3x + -9

Combine like terms: 6 + -7 = -1
-1 + -3x = 4x + -5 + 3x + -9

Reorder the terms:
-1 + -3x = -5 + -9 + 4x + 3x

Combine like terms: -5 + -9 = -14
-1 + -3x = -14 + 4x + 3x

Combine like terms: 4x + 3x = 7x
-1 + -3x = -14 + 7x

Solving
-1 + -3x = -14 + 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.
-1 + -3x + -7x = -14 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-1 + -10x = -14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1 + -10x = -14 + 0
-1 + -10x = -14

Add '1' to each side of the equation.
-1 + 1 + -10x = -14 + 1

Combine like terms: -1 + 1 = 0
0 + -10x = -14 + 1
-10x = -14 + 1

Combine like terms: -14 + 1 = -13
-10x = -13

Divide each side by '-10'.
x = 1.3

Simplifying
x = 1.3

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