7(x-83)-3=2(x-8)+17

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Solution for 7(x-83)-3=2(x-8)+17 equation:


Simplifying
7(x + -83) + -3 = 2(x + -8) + 17

Reorder the terms:
7(-83 + x) + -3 = 2(x + -8) + 17
(-83 * 7 + x * 7) + -3 = 2(x + -8) + 17
(-581 + 7x) + -3 = 2(x + -8) + 17

Reorder the terms:
-581 + -3 + 7x = 2(x + -8) + 17

Combine like terms: -581 + -3 = -584
-584 + 7x = 2(x + -8) + 17

Reorder the terms:
-584 + 7x = 2(-8 + x) + 17
-584 + 7x = (-8 * 2 + x * 2) + 17
-584 + 7x = (-16 + 2x) + 17

Reorder the terms:
-584 + 7x = -16 + 17 + 2x

Combine like terms: -16 + 17 = 1
-584 + 7x = 1 + 2x

Solving
-584 + 7x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-584 + 7x + -2x = 1 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-584 + 5x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-584 + 5x = 1 + 0
-584 + 5x = 1

Add '584' to each side of the equation.
-584 + 584 + 5x = 1 + 584

Combine like terms: -584 + 584 = 0
0 + 5x = 1 + 584
5x = 1 + 584

Combine like terms: 1 + 584 = 585
5x = 585

Divide each side by '5'.
x = 117

Simplifying
x = 117

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