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

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


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

Reorder the terms:
5 + -2(7 + x) = 3(2x + -5)
5 + (7 * -2 + x * -2) = 3(2x + -5)
5 + (-14 + -2x) = 3(2x + -5)

Combine like terms: 5 + -14 = -9
-9 + -2x = 3(2x + -5)

Reorder the terms:
-9 + -2x = 3(-5 + 2x)
-9 + -2x = (-5 * 3 + 2x * 3)
-9 + -2x = (-15 + 6x)

Solving
-9 + -2x = -15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-9 + -2x + -6x = -15 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-9 + -8x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-9 + -8x = -15 + 0
-9 + -8x = -15

Add '9' to each side of the equation.
-9 + 9 + -8x = -15 + 9

Combine like terms: -9 + 9 = 0
0 + -8x = -15 + 9
-8x = -15 + 9

Combine like terms: -15 + 9 = -6
-8x = -6

Divide each side by '-8'.
x = 0.75

Simplifying
x = 0.75

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