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

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


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

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

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

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

Solving
5 + -7x = -7 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
5 + -7x + 4x = -7 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
5 + -3x = -7 + 0
5 + -3x = -7

Add '-5' to each side of the equation.
5 + -5 + -3x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = -7 + -5
-3x = -7 + -5

Combine like terms: -7 + -5 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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