5(x+4)-10=5+4(x-1)

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Solution for 5(x+4)-10=5+4(x-1) equation:


Simplifying
5(x + 4) + -10 = 5 + 4(x + -1)

Reorder the terms:
5(4 + x) + -10 = 5 + 4(x + -1)
(4 * 5 + x * 5) + -10 = 5 + 4(x + -1)
(20 + 5x) + -10 = 5 + 4(x + -1)

Reorder the terms:
20 + -10 + 5x = 5 + 4(x + -1)

Combine like terms: 20 + -10 = 10
10 + 5x = 5 + 4(x + -1)

Reorder the terms:
10 + 5x = 5 + 4(-1 + x)
10 + 5x = 5 + (-1 * 4 + x * 4)
10 + 5x = 5 + (-4 + 4x)

Combine like terms: 5 + -4 = 1
10 + 5x = 1 + 4x

Solving
10 + 5x = 1 + 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.
10 + 5x + -4x = 1 + 4x + -4x

Combine like terms: 5x + -4x = 1x
10 + 1x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + 1x = 1 + 0
10 + 1x = 1

Add '-10' to each side of the equation.
10 + -10 + 1x = 1 + -10

Combine like terms: 10 + -10 = 0
0 + 1x = 1 + -10
1x = 1 + -10

Combine like terms: 1 + -10 = -9
1x = -9

Divide each side by '1'.
x = -9

Simplifying
x = -9

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