4(x-9)-3x=3(x-2)-4

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Solution for 4(x-9)-3x=3(x-2)-4 equation: 


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

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

Combine like terms: 4x + -3x = 1x
-36 + 1x = 3(x + -2) + -4

Reorder the terms:
-36 + 1x = 3(-2 + x) + -4
-36 + 1x = (-2 * 3 + x * 3) + -4
-36 + 1x = (-6 + 3x) + -4

Reorder the terms:
-36 + 1x = -6 + -4 + 3x

Combine like terms: -6 + -4 = -10
-36 + 1x = -10 + 3x

Solving
-36 + 1x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-36 + 1x + -3x = -10 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-36 + -2x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-36 + -2x = -10 + 0
-36 + -2x = -10

Add '36' to each side of the equation.
-36 + 36 + -2x = -10 + 36

Combine like terms: -36 + 36 = 0
0 + -2x = -10 + 36
-2x = -10 + 36

Combine like terms: -10 + 36 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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