3x-(5x+4)=7x-40

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Solution for 3x-(5x+4)=7x-40 equation:


Simplifying
3x + -1(5x + 4) = 7x + -40

Reorder the terms:
3x + -1(4 + 5x) = 7x + -40
3x + (4 * -1 + 5x * -1) = 7x + -40
3x + (-4 + -5x) = 7x + -40

Reorder the terms:
-4 + 3x + -5x = 7x + -40

Combine like terms: 3x + -5x = -2x
-4 + -2x = 7x + -40

Reorder the terms:
-4 + -2x = -40 + 7x

Solving
-4 + -2x = -40 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + -2x + -7x = -40 + 7x + -7x

Combine like terms: -2x + -7x = -9x
-4 + -9x = -40 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -9x = -40 + 0
-4 + -9x = -40

Add '4' to each side of the equation.
-4 + 4 + -9x = -40 + 4

Combine like terms: -4 + 4 = 0
0 + -9x = -40 + 4
-9x = -40 + 4

Combine like terms: -40 + 4 = -36
-9x = -36

Divide each side by '-9'.
x = 4

Simplifying
x = 4

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