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

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


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

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

Reorder the terms:
-4 + 7x + -3x = 5x + -27

Combine like terms: 7x + -3x = 4x
-4 + 4x = 5x + -27

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

Solving
-4 + 4x = -27 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-4 + 4x + -5x = -27 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-4 + -1x = -27 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + -1x = -27 + 0
-4 + -1x = -27

Add '4' to each side of the equation.
-4 + 4 + -1x = -27 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = -27 + 4
-1x = -27 + 4

Combine like terms: -27 + 4 = -23
-1x = -23

Divide each side by '-1'.
x = 23

Simplifying
x = 23

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