(5x+3)-13=10x-(27+4x)+7

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Solution for (5x+3)-13=10x-(27+4x)+7 equation:


Simplifying
(5x + 3) + -13 = 10x + -1(27 + 4x) + 7

Reorder the terms:
(3 + 5x) + -13 = 10x + -1(27 + 4x) + 7

Remove parenthesis around (3 + 5x)
3 + 5x + -13 = 10x + -1(27 + 4x) + 7

Reorder the terms:
3 + -13 + 5x = 10x + -1(27 + 4x) + 7

Combine like terms: 3 + -13 = -10
-10 + 5x = 10x + -1(27 + 4x) + 7
-10 + 5x = 10x + (27 * -1 + 4x * -1) + 7
-10 + 5x = 10x + (-27 + -4x) + 7

Reorder the terms:
-10 + 5x = -27 + 7 + 10x + -4x

Combine like terms: -27 + 7 = -20
-10 + 5x = -20 + 10x + -4x

Combine like terms: 10x + -4x = 6x
-10 + 5x = -20 + 6x

Solving
-10 + 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.
-10 + 5x + -6x = -20 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-10 + -1x = -20 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + -1x = -20 + 0
-10 + -1x = -20

Add '10' to each side of the equation.
-10 + 10 + -1x = -20 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -20 + 10
-1x = -20 + 10

Combine like terms: -20 + 10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10

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