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

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


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

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

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

Combine like terms: -3 + 5 = 2
2 + 1x = 4(x + 5)

Reorder the terms:
2 + 1x = 4(5 + x)
2 + 1x = (5 * 4 + x * 4)
2 + 1x = (20 + 4x)

Solving
2 + 1x = 20 + 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.
2 + 1x + -4x = 20 + 4x + -4x

Combine like terms: 1x + -4x = -3x
2 + -3x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -3x = 20 + 0
2 + -3x = 20

Add '-2' to each side of the equation.
2 + -2 + -3x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 20 + -2
-3x = 20 + -2

Combine like terms: 20 + -2 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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