6x-(3x+4)=7x-44

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Solution for 6x-(3x+4)=7x-44 equation:


Simplifying
6x + -1(3x + 4) = 7x + -44

Reorder the terms:
6x + -1(4 + 3x) = 7x + -44
6x + (4 * -1 + 3x * -1) = 7x + -44
6x + (-4 + -3x) = 7x + -44

Reorder the terms:
-4 + 6x + -3x = 7x + -44

Combine like terms: 6x + -3x = 3x
-4 + 3x = 7x + -44

Reorder the terms:
-4 + 3x = -44 + 7x

Solving
-4 + 3x = -44 + 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.
-4 + 3x + -7x = -44 + 7x + -7x

Combine like terms: 3x + -7x = -4x
-4 + -4x = -44 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -4x = -44 + 0
-4 + -4x = -44

Add '4' to each side of the equation.
-4 + 4 + -4x = -44 + 4

Combine like terms: -4 + 4 = 0
0 + -4x = -44 + 4
-4x = -44 + 4

Combine like terms: -44 + 4 = -40
-4x = -40

Divide each side by '-4'.
x = 10

Simplifying
x = 10

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