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

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


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

Reorder the terms:
5(-3 + x) + 5 = 3(x + -7) + 7
(-3 * 5 + x * 5) + 5 = 3(x + -7) + 7
(-15 + 5x) + 5 = 3(x + -7) + 7

Reorder the terms:
-15 + 5 + 5x = 3(x + -7) + 7

Combine like terms: -15 + 5 = -10
-10 + 5x = 3(x + -7) + 7

Reorder the terms:
-10 + 5x = 3(-7 + x) + 7
-10 + 5x = (-7 * 3 + x * 3) + 7
-10 + 5x = (-21 + 3x) + 7

Reorder the terms:
-10 + 5x = -21 + 7 + 3x

Combine like terms: -21 + 7 = -14
-10 + 5x = -14 + 3x

Solving
-10 + 5x = -14 + 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.
-10 + 5x + -3x = -14 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-10 + 2x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + 2x = -14 + 0
-10 + 2x = -14

Add '10' to each side of the equation.
-10 + 10 + 2x = -14 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = -14 + 10
2x = -14 + 10

Combine like terms: -14 + 10 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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