4*(3x-9)-2*(3x+4)=5x-7

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Solution for 4*(3x-9)-2*(3x+4)=5x-7 equation:


Simplifying
4(3x + -9) + -2(3x + 4) = 5x + -7

Reorder the terms:
4(-9 + 3x) + -2(3x + 4) = 5x + -7
(-9 * 4 + 3x * 4) + -2(3x + 4) = 5x + -7
(-36 + 12x) + -2(3x + 4) = 5x + -7

Reorder the terms:
-36 + 12x + -2(4 + 3x) = 5x + -7
-36 + 12x + (4 * -2 + 3x * -2) = 5x + -7
-36 + 12x + (-8 + -6x) = 5x + -7

Reorder the terms:
-36 + -8 + 12x + -6x = 5x + -7

Combine like terms: -36 + -8 = -44
-44 + 12x + -6x = 5x + -7

Combine like terms: 12x + -6x = 6x
-44 + 6x = 5x + -7

Reorder the terms:
-44 + 6x = -7 + 5x

Solving
-44 + 6x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-44 + 6x + -5x = -7 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-44 + 1x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-44 + 1x = -7 + 0
-44 + 1x = -7

Add '44' to each side of the equation.
-44 + 44 + 1x = -7 + 44

Combine like terms: -44 + 44 = 0
0 + 1x = -7 + 44
1x = -7 + 44

Combine like terms: -7 + 44 = 37
1x = 37

Divide each side by '1'.
x = 37

Simplifying
x = 37

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