4(x-4)+20=3(x-3)

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Solution for 4(x-4)+20=3(x-3) equation:


Simplifying
4(x + -4) + 20 = 3(x + -3)

Reorder the terms:
4(-4 + x) + 20 = 3(x + -3)
(-4 * 4 + x * 4) + 20 = 3(x + -3)
(-16 + 4x) + 20 = 3(x + -3)

Reorder the terms:
-16 + 20 + 4x = 3(x + -3)

Combine like terms: -16 + 20 = 4
4 + 4x = 3(x + -3)

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

Solving
4 + 4x = -9 + 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.
4 + 4x + -3x = -9 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
4 + 1x = -9 + 0
4 + 1x = -9

Add '-4' to each side of the equation.
4 + -4 + 1x = -9 + -4

Combine like terms: 4 + -4 = 0
0 + 1x = -9 + -4
1x = -9 + -4

Combine like terms: -9 + -4 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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