2(x-8)+7=5(a+2)-3a-19

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Solution for 2(x-8)+7=5(a+2)-3a-19 equation:


Simplifying
2(x + -8) + 7 = 5(a + 2) + -3a + -19

Reorder the terms:
2(-8 + x) + 7 = 5(a + 2) + -3a + -19
(-8 * 2 + x * 2) + 7 = 5(a + 2) + -3a + -19
(-16 + 2x) + 7 = 5(a + 2) + -3a + -19

Reorder the terms:
-16 + 7 + 2x = 5(a + 2) + -3a + -19

Combine like terms: -16 + 7 = -9
-9 + 2x = 5(a + 2) + -3a + -19

Reorder the terms:
-9 + 2x = 5(2 + a) + -3a + -19
-9 + 2x = (2 * 5 + a * 5) + -3a + -19
-9 + 2x = (10 + 5a) + -3a + -19

Reorder the terms:
-9 + 2x = 10 + -19 + 5a + -3a

Combine like terms: 10 + -19 = -9
-9 + 2x = -9 + 5a + -3a

Combine like terms: 5a + -3a = 2a
-9 + 2x = -9 + 2a

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

Combine like terms: -9 + 9 = 0
0 + 2x = -9 + 9 + 2a
2x = -9 + 9 + 2a

Combine like terms: -9 + 9 = 0
2x = 0 + 2a
2x = 2a

Solving
2x = 2a

Solving for variable 'x'.

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

Divide each side by '2'.
x = a

Simplifying
x = a

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