3x-(4x+9)=6x-37

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Solution for 3x-(4x+9)=6x-37 equation:


Simplifying
3x + -1(4x + 9) = 6x + -37

Reorder the terms:
3x + -1(9 + 4x) = 6x + -37
3x + (9 * -1 + 4x * -1) = 6x + -37
3x + (-9 + -4x) = 6x + -37

Reorder the terms:
-9 + 3x + -4x = 6x + -37

Combine like terms: 3x + -4x = -1x
-9 + -1x = 6x + -37

Reorder the terms:
-9 + -1x = -37 + 6x

Solving
-9 + -1x = -37 + 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.
-9 + -1x + -6x = -37 + 6x + -6x

Combine like terms: -1x + -6x = -7x
-9 + -7x = -37 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + -7x = -37 + 0
-9 + -7x = -37

Add '9' to each side of the equation.
-9 + 9 + -7x = -37 + 9

Combine like terms: -9 + 9 = 0
0 + -7x = -37 + 9
-7x = -37 + 9

Combine like terms: -37 + 9 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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