3(x-5)+8x-2=7(x+3)+10

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Solution for 3(x-5)+8x-2=7(x+3)+10 equation:


Simplifying
3(x + -5) + 8x + -2 = 7(x + 3) + 10

Reorder the terms:
3(-5 + x) + 8x + -2 = 7(x + 3) + 10
(-5 * 3 + x * 3) + 8x + -2 = 7(x + 3) + 10
(-15 + 3x) + 8x + -2 = 7(x + 3) + 10

Reorder the terms:
-15 + -2 + 3x + 8x = 7(x + 3) + 10

Combine like terms: -15 + -2 = -17
-17 + 3x + 8x = 7(x + 3) + 10

Combine like terms: 3x + 8x = 11x
-17 + 11x = 7(x + 3) + 10

Reorder the terms:
-17 + 11x = 7(3 + x) + 10
-17 + 11x = (3 * 7 + x * 7) + 10
-17 + 11x = (21 + 7x) + 10

Reorder the terms:
-17 + 11x = 21 + 10 + 7x

Combine like terms: 21 + 10 = 31
-17 + 11x = 31 + 7x

Solving
-17 + 11x = 31 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-17 + 11x + -7x = 31 + 7x + -7x

Combine like terms: 11x + -7x = 4x
-17 + 4x = 31 + 7x + -7x

Combine like terms: 7x + -7x = 0
-17 + 4x = 31 + 0
-17 + 4x = 31

Add '17' to each side of the equation.
-17 + 17 + 4x = 31 + 17

Combine like terms: -17 + 17 = 0
0 + 4x = 31 + 17
4x = 31 + 17

Combine like terms: 31 + 17 = 48
4x = 48

Divide each side by '4'.
x = 12

Simplifying
x = 12

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