4(3x+5)=6x-(10+3)

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Solution for 4(3x+5)=6x-(10+3) equation:


Simplifying
4(3x + 5) = 6x + -1(10 + 3)

Reorder the terms:
4(5 + 3x) = 6x + -1(10 + 3)
(5 * 4 + 3x * 4) = 6x + -1(10 + 3)
(20 + 12x) = 6x + -1(10 + 3)

Combine like terms: 10 + 3 = 13
20 + 12x = 6x + -1(13)

Multiply -1 * 13
20 + 12x = 6x + -13

Reorder the terms:
20 + 12x = -13 + 6x

Solving
20 + 12x = -13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + 12x + -6x = -13 + 6x + -6x

Combine like terms: 12x + -6x = 6x
20 + 6x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + 6x = -13 + 0
20 + 6x = -13

Add '-20' to each side of the equation.
20 + -20 + 6x = -13 + -20

Combine like terms: 20 + -20 = 0
0 + 6x = -13 + -20
6x = -13 + -20

Combine like terms: -13 + -20 = -33
6x = -33

Divide each side by '6'.
x = -5.5

Simplifying
x = -5.5

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