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

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


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

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

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

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

Combine like terms: -4 + -14 = -18
-18 + 4x + -7x = -3

Combine like terms: 4x + -7x = -3x
-18 + -3x = -3

Solving
-18 + -3x = -3

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + -3x = -3 + 18

Combine like terms: -18 + 18 = 0
0 + -3x = -3 + 18
-3x = -3 + 18

Combine like terms: -3 + 18 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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