3x-5(x+4)=2(x-7)

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Solution for 3x-5(x+4)=2(x-7) equation:


Simplifying
3x + -5(x + 4) = 2(x + -7)

Reorder the terms:
3x + -5(4 + x) = 2(x + -7)
3x + (4 * -5 + x * -5) = 2(x + -7)
3x + (-20 + -5x) = 2(x + -7)

Reorder the terms:
-20 + 3x + -5x = 2(x + -7)

Combine like terms: 3x + -5x = -2x
-20 + -2x = 2(x + -7)

Reorder the terms:
-20 + -2x = 2(-7 + x)
-20 + -2x = (-7 * 2 + x * 2)
-20 + -2x = (-14 + 2x)

Solving
-20 + -2x = -14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + -2x + -2x = -14 + 2x + -2x

Combine like terms: -2x + -2x = -4x
-20 + -4x = -14 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + -4x = -14 + 0
-20 + -4x = -14

Add '20' to each side of the equation.
-20 + 20 + -4x = -14 + 20

Combine like terms: -20 + 20 = 0
0 + -4x = -14 + 20
-4x = -14 + 20

Combine like terms: -14 + 20 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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