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

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


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

Reorder the terms:
5(-7 + x) = 3(2x + 5)
(-7 * 5 + x * 5) = 3(2x + 5)
(-35 + 5x) = 3(2x + 5)

Reorder the terms:
-35 + 5x = 3(5 + 2x)
-35 + 5x = (5 * 3 + 2x * 3)
-35 + 5x = (15 + 6x)

Solving
-35 + 5x = 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.
-35 + 5x + -6x = 15 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-35 + -1x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-35 + -1x = 15 + 0
-35 + -1x = 15

Add '35' to each side of the equation.
-35 + 35 + -1x = 15 + 35

Combine like terms: -35 + 35 = 0
0 + -1x = 15 + 35
-1x = 15 + 35

Combine like terms: 15 + 35 = 50
-1x = 50

Divide each side by '-1'.
x = -50

Simplifying
x = -50

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