4(2x-9)-5=4(x-4)-13

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Solution for 4(2x-9)-5=4(x-4)-13 equation:


Simplifying
4(2x + -9) + -5 = 4(x + -4) + -13

Reorder the terms:
4(-9 + 2x) + -5 = 4(x + -4) + -13
(-9 * 4 + 2x * 4) + -5 = 4(x + -4) + -13
(-36 + 8x) + -5 = 4(x + -4) + -13

Reorder the terms:
-36 + -5 + 8x = 4(x + -4) + -13

Combine like terms: -36 + -5 = -41
-41 + 8x = 4(x + -4) + -13

Reorder the terms:
-41 + 8x = 4(-4 + x) + -13
-41 + 8x = (-4 * 4 + x * 4) + -13
-41 + 8x = (-16 + 4x) + -13

Reorder the terms:
-41 + 8x = -16 + -13 + 4x

Combine like terms: -16 + -13 = -29
-41 + 8x = -29 + 4x

Solving
-41 + 8x = -29 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-41 + 8x + -4x = -29 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-41 + 4x = -29 + 4x + -4x

Combine like terms: 4x + -4x = 0
-41 + 4x = -29 + 0
-41 + 4x = -29

Add '41' to each side of the equation.
-41 + 41 + 4x = -29 + 41

Combine like terms: -41 + 41 = 0
0 + 4x = -29 + 41
4x = -29 + 41

Combine like terms: -29 + 41 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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