(5x+3)-2=4(3x+5)-6x

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Solution for (5x+3)-2=4(3x+5)-6x equation:


Simplifying
(5x + 3) + -2 = 4(3x + 5) + -6x

Reorder the terms:
(3 + 5x) + -2 = 4(3x + 5) + -6x

Remove parenthesis around (3 + 5x)
3 + 5x + -2 = 4(3x + 5) + -6x

Reorder the terms:
3 + -2 + 5x = 4(3x + 5) + -6x

Combine like terms: 3 + -2 = 1
1 + 5x = 4(3x + 5) + -6x

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

Combine like terms: 12x + -6x = 6x
1 + 5x = 20 + 6x

Solving
1 + 5x = 20 + 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.
1 + 5x + -6x = 20 + 6x + -6x

Combine like terms: 5x + -6x = -1x
1 + -1x = 20 + 6x + -6x

Combine like terms: 6x + -6x = 0
1 + -1x = 20 + 0
1 + -1x = 20

Add '-1' to each side of the equation.
1 + -1 + -1x = 20 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 20 + -1
-1x = 20 + -1

Combine like terms: 20 + -1 = 19
-1x = 19

Divide each side by '-1'.
x = -19

Simplifying
x = -19

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