x-87=7(2x+3)-17

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Solution for x-87=7(2x+3)-17 equation:


Simplifying
x + -87 = 7(2x + 3) + -17

Reorder the terms:
-87 + x = 7(2x + 3) + -17

Reorder the terms:
-87 + x = 7(3 + 2x) + -17
-87 + x = (3 * 7 + 2x * 7) + -17
-87 + x = (21 + 14x) + -17

Reorder the terms:
-87 + x = 21 + -17 + 14x

Combine like terms: 21 + -17 = 4
-87 + x = 4 + 14x

Solving
-87 + x = 4 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-87 + x + -14x = 4 + 14x + -14x

Combine like terms: x + -14x = -13x
-87 + -13x = 4 + 14x + -14x

Combine like terms: 14x + -14x = 0
-87 + -13x = 4 + 0
-87 + -13x = 4

Add '87' to each side of the equation.
-87 + 87 + -13x = 4 + 87

Combine like terms: -87 + 87 = 0
0 + -13x = 4 + 87
-13x = 4 + 87

Combine like terms: 4 + 87 = 91
-13x = 91

Divide each side by '-13'.
x = -7

Simplifying
x = -7

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