5(-7)=3(X-4)-13

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Solution for 5(-7)=3(X-4)-13 equation:


Simplifying
5(-7) = 3(X + -4) + -13

Multiply 5 * -7
-35 = 3(X + -4) + -13

Reorder the terms:
-35 = 3(-4 + X) + -13
-35 = (-4 * 3 + X * 3) + -13
-35 = (-12 + 3X) + -13

Reorder the terms:
-35 = -12 + -13 + 3X

Combine like terms: -12 + -13 = -25
-35 = -25 + 3X

Solving
-35 = -25 + 3X

Solving for variable 'X'.

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

Add '-3X' to each side of the equation.
-35 + -3X = -25 + 3X + -3X

Combine like terms: 3X + -3X = 0
-35 + -3X = -25 + 0
-35 + -3X = -25

Add '35' to each side of the equation.
-35 + 35 + -3X = -25 + 35

Combine like terms: -35 + 35 = 0
0 + -3X = -25 + 35
-3X = -25 + 35

Combine like terms: -25 + 35 = 10
-3X = 10

Divide each side by '-3'.
X = -3.333333333

Simplifying
X = -3.333333333

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