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

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


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

Reorder the terms:
1 + 4(-3 + x) = 5 + -5(x + -3)
1 + (-3 * 4 + x * 4) = 5 + -5(x + -3)
1 + (-12 + 4x) = 5 + -5(x + -3)

Combine like terms: 1 + -12 = -11
-11 + 4x = 5 + -5(x + -3)

Reorder the terms:
-11 + 4x = 5 + -5(-3 + x)
-11 + 4x = 5 + (-3 * -5 + x * -5)
-11 + 4x = 5 + (15 + -5x)

Combine like terms: 5 + 15 = 20
-11 + 4x = 20 + -5x

Solving
-11 + 4x = 20 + -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.
-11 + 4x + 5x = 20 + -5x + 5x

Combine like terms: 4x + 5x = 9x
-11 + 9x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-11 + 9x = 20 + 0
-11 + 9x = 20

Add '11' to each side of the equation.
-11 + 11 + 9x = 20 + 11

Combine like terms: -11 + 11 = 0
0 + 9x = 20 + 11
9x = 20 + 11

Combine like terms: 20 + 11 = 31
9x = 31

Divide each side by '9'.
x = 3.444444444

Simplifying
x = 3.444444444

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