5(x-7)-4(x+6)=36

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Solution for 5(x-7)-4(x+6)=36 equation:


Simplifying
5(x + -7) + -4(x + 6) = 36

Reorder the terms:
5(-7 + x) + -4(x + 6) = 36
(-7 * 5 + x * 5) + -4(x + 6) = 36
(-35 + 5x) + -4(x + 6) = 36

Reorder the terms:
-35 + 5x + -4(6 + x) = 36
-35 + 5x + (6 * -4 + x * -4) = 36
-35 + 5x + (-24 + -4x) = 36

Reorder the terms:
-35 + -24 + 5x + -4x = 36

Combine like terms: -35 + -24 = -59
-59 + 5x + -4x = 36

Combine like terms: 5x + -4x = 1x
-59 + 1x = 36

Solving
-59 + 1x = 36

Solving for variable 'x'.

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

Add '59' to each side of the equation.
-59 + 59 + 1x = 36 + 59

Combine like terms: -59 + 59 = 0
0 + 1x = 36 + 59
1x = 36 + 59

Combine like terms: 36 + 59 = 95
1x = 95

Divide each side by '1'.
x = 95

Simplifying
x = 95

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