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

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Solution for 4x+5-7(x+1)=5x+3 equation:


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

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

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

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

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

Reorder the terms:
-2 + -3x = 3 + 5x

Solving
-2 + -3x = 3 + 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.
-2 + -3x + -5x = 3 + 5x + -5x

Combine like terms: -3x + -5x = -8x
-2 + -8x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -8x = 3 + 0
-2 + -8x = 3

Add '2' to each side of the equation.
-2 + 2 + -8x = 3 + 2

Combine like terms: -2 + 2 = 0
0 + -8x = 3 + 2
-8x = 3 + 2

Combine like terms: 3 + 2 = 5
-8x = 5

Divide each side by '-8'.
x = -0.625

Simplifying
x = -0.625

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