13(x-7)-10(x+4)=12

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Solution for 13(x-7)-10(x+4)=12 equation:


Simplifying
13(x + -7) + -10(x + 4) = 12

Reorder the terms:
13(-7 + x) + -10(x + 4) = 12
(-7 * 13 + x * 13) + -10(x + 4) = 12
(-91 + 13x) + -10(x + 4) = 12

Reorder the terms:
-91 + 13x + -10(4 + x) = 12
-91 + 13x + (4 * -10 + x * -10) = 12
-91 + 13x + (-40 + -10x) = 12

Reorder the terms:
-91 + -40 + 13x + -10x = 12

Combine like terms: -91 + -40 = -131
-131 + 13x + -10x = 12

Combine like terms: 13x + -10x = 3x
-131 + 3x = 12

Solving
-131 + 3x = 12

Solving for variable 'x'.

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

Add '131' to each side of the equation.
-131 + 131 + 3x = 12 + 131

Combine like terms: -131 + 131 = 0
0 + 3x = 12 + 131
3x = 12 + 131

Combine like terms: 12 + 131 = 143
3x = 143

Divide each side by '3'.
x = 47.66666667

Simplifying
x = 47.66666667

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