5(x+3)-4=x-10

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Solution for 5(x+3)-4=x-10 equation:


Simplifying
5(x + 3) + -4 = x + -10

Reorder the terms:
5(3 + x) + -4 = x + -10
(3 * 5 + x * 5) + -4 = x + -10
(15 + 5x) + -4 = x + -10

Reorder the terms:
15 + -4 + 5x = x + -10

Combine like terms: 15 + -4 = 11
11 + 5x = x + -10

Reorder the terms:
11 + 5x = -10 + x

Solving
11 + 5x = -10 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
11 + 5x + -1x = -10 + x + -1x

Combine like terms: 5x + -1x = 4x
11 + 4x = -10 + x + -1x

Combine like terms: x + -1x = 0
11 + 4x = -10 + 0
11 + 4x = -10

Add '-11' to each side of the equation.
11 + -11 + 4x = -10 + -11

Combine like terms: 11 + -11 = 0
0 + 4x = -10 + -11
4x = -10 + -11

Combine like terms: -10 + -11 = -21
4x = -21

Divide each side by '4'.
x = -5.25

Simplifying
x = -5.25

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