4(x-5)-3(x+1)-14=-28

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Solution for 4(x-5)-3(x+1)-14=-28 equation:


Simplifying
4(x + -5) + -3(x + 1) + -14 = -28

Reorder the terms:
4(-5 + x) + -3(x + 1) + -14 = -28
(-5 * 4 + x * 4) + -3(x + 1) + -14 = -28
(-20 + 4x) + -3(x + 1) + -14 = -28

Reorder the terms:
-20 + 4x + -3(1 + x) + -14 = -28
-20 + 4x + (1 * -3 + x * -3) + -14 = -28
-20 + 4x + (-3 + -3x) + -14 = -28

Reorder the terms:
-20 + -3 + -14 + 4x + -3x = -28

Combine like terms: -20 + -3 = -23
-23 + -14 + 4x + -3x = -28

Combine like terms: -23 + -14 = -37
-37 + 4x + -3x = -28

Combine like terms: 4x + -3x = 1x
-37 + 1x = -28

Solving
-37 + 1x = -28

Solving for variable 'x'.

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

Add '37' to each side of the equation.
-37 + 37 + 1x = -28 + 37

Combine like terms: -37 + 37 = 0
0 + 1x = -28 + 37
1x = -28 + 37

Combine like terms: -28 + 37 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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