3(x-1)+5x=4(x-9)+69

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Solution for 3(x-1)+5x=4(x-9)+69 equation:


Simplifying
3(x + -1) + 5x = 4(x + -9) + 69

Reorder the terms:
3(-1 + x) + 5x = 4(x + -9) + 69
(-1 * 3 + x * 3) + 5x = 4(x + -9) + 69
(-3 + 3x) + 5x = 4(x + -9) + 69

Combine like terms: 3x + 5x = 8x
-3 + 8x = 4(x + -9) + 69

Reorder the terms:
-3 + 8x = 4(-9 + x) + 69
-3 + 8x = (-9 * 4 + x * 4) + 69
-3 + 8x = (-36 + 4x) + 69

Reorder the terms:
-3 + 8x = -36 + 69 + 4x

Combine like terms: -36 + 69 = 33
-3 + 8x = 33 + 4x

Solving
-3 + 8x = 33 + 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.
-3 + 8x + -4x = 33 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-3 + 4x = 33 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 4x = 33 + 0
-3 + 4x = 33

Add '3' to each side of the equation.
-3 + 3 + 4x = 33 + 3

Combine like terms: -3 + 3 = 0
0 + 4x = 33 + 3
4x = 33 + 3

Combine like terms: 33 + 3 = 36
4x = 36

Divide each side by '4'.
x = 9

Simplifying
x = 9

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