-4(x+1)-3x=-7(2x-3)+3

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Solution for -4(x+1)-3x=-7(2x-3)+3 equation:


Simplifying
-4(x + 1) + -3x = -7(2x + -3) + 3

Reorder the terms:
-4(1 + x) + -3x = -7(2x + -3) + 3
(1 * -4 + x * -4) + -3x = -7(2x + -3) + 3
(-4 + -4x) + -3x = -7(2x + -3) + 3

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

Reorder the terms:
-4 + -7x = -7(-3 + 2x) + 3
-4 + -7x = (-3 * -7 + 2x * -7) + 3
-4 + -7x = (21 + -14x) + 3

Reorder the terms:
-4 + -7x = 21 + 3 + -14x

Combine like terms: 21 + 3 = 24
-4 + -7x = 24 + -14x

Solving
-4 + -7x = 24 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-4 + -7x + 14x = 24 + -14x + 14x

Combine like terms: -7x + 14x = 7x
-4 + 7x = 24 + -14x + 14x

Combine like terms: -14x + 14x = 0
-4 + 7x = 24 + 0
-4 + 7x = 24

Add '4' to each side of the equation.
-4 + 4 + 7x = 24 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 24 + 4
7x = 24 + 4

Combine like terms: 24 + 4 = 28
7x = 28

Divide each side by '7'.
x = 4

Simplifying
x = 4

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