4(x+7)-5(x-3)=0

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Solution for 4(x+7)-5(x-3)=0 equation:


Simplifying
4(x + 7) + -5(x + -3) = 0

Reorder the terms:
4(7 + x) + -5(x + -3) = 0
(7 * 4 + x * 4) + -5(x + -3) = 0
(28 + 4x) + -5(x + -3) = 0

Reorder the terms:
28 + 4x + -5(-3 + x) = 0
28 + 4x + (-3 * -5 + x * -5) = 0
28 + 4x + (15 + -5x) = 0

Reorder the terms:
28 + 15 + 4x + -5x = 0

Combine like terms: 28 + 15 = 43
43 + 4x + -5x = 0

Combine like terms: 4x + -5x = -1x
43 + -1x = 0

Solving
43 + -1x = 0

Solving for variable 'x'.

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

Add '-43' to each side of the equation.
43 + -43 + -1x = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -1x = 0 + -43
-1x = 0 + -43

Combine like terms: 0 + -43 = -43
-1x = -43

Divide each side by '-1'.
x = 43

Simplifying
x = 43

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