7(x-10)=15-5(x+3)

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Solution for 7(x-10)=15-5(x+3) equation:


Simplifying
7(x + -10) = 15 + -5(x + 3)

Reorder the terms:
7(-10 + x) = 15 + -5(x + 3)
(-10 * 7 + x * 7) = 15 + -5(x + 3)
(-70 + 7x) = 15 + -5(x + 3)

Reorder the terms:
-70 + 7x = 15 + -5(3 + x)
-70 + 7x = 15 + (3 * -5 + x * -5)
-70 + 7x = 15 + (-15 + -5x)

Combine like terms: 15 + -15 = 0
-70 + 7x = 0 + -5x
-70 + 7x = -5x

Solving
-70 + 7x = -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-70 + 7x + 5x = -5x + 5x

Combine like terms: 7x + 5x = 12x
-70 + 12x = -5x + 5x

Combine like terms: -5x + 5x = 0
-70 + 12x = 0

Add '70' to each side of the equation.
-70 + 70 + 12x = 0 + 70

Combine like terms: -70 + 70 = 0
0 + 12x = 0 + 70
12x = 0 + 70

Combine like terms: 0 + 70 = 70
12x = 70

Divide each side by '12'.
x = 5.833333333

Simplifying
x = 5.833333333

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