4x-(5x+7)=3x-35

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Solution for 4x-(5x+7)=3x-35 equation:


Simplifying
4x + -1(5x + 7) = 3x + -35

Reorder the terms:
4x + -1(7 + 5x) = 3x + -35
4x + (7 * -1 + 5x * -1) = 3x + -35
4x + (-7 + -5x) = 3x + -35

Reorder the terms:
-7 + 4x + -5x = 3x + -35

Combine like terms: 4x + -5x = -1x
-7 + -1x = 3x + -35

Reorder the terms:
-7 + -1x = -35 + 3x

Solving
-7 + -1x = -35 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-7 + -1x + -3x = -35 + 3x + -3x

Combine like terms: -1x + -3x = -4x
-7 + -4x = -35 + 3x + -3x

Combine like terms: 3x + -3x = 0
-7 + -4x = -35 + 0
-7 + -4x = -35

Add '7' to each side of the equation.
-7 + 7 + -4x = -35 + 7

Combine like terms: -7 + 7 = 0
0 + -4x = -35 + 7
-4x = -35 + 7

Combine like terms: -35 + 7 = -28
-4x = -28

Divide each side by '-4'.
x = 7

Simplifying
x = 7

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