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

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


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

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

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

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

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

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

Combine like terms: -1x + -7x = -8x
-7 + -8x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + -8x = -3 + 0
-7 + -8x = -3

Add '7' to each side of the equation.
-7 + 7 + -8x = -3 + 7

Combine like terms: -7 + 7 = 0
0 + -8x = -3 + 7
-8x = -3 + 7

Combine like terms: -3 + 7 = 4
-8x = 4

Divide each side by '-8'.
x = -0.5

Simplifying
x = -0.5

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