8x+2(x-7)=7x+3-14

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Solution for 8x+2(x-7)=7x+3-14 equation:


Simplifying
8x + 2(x + -7) = 7x + 3 + -14

Reorder the terms:
8x + 2(-7 + x) = 7x + 3 + -14
8x + (-7 * 2 + x * 2) = 7x + 3 + -14
8x + (-14 + 2x) = 7x + 3 + -14

Reorder the terms:
-14 + 8x + 2x = 7x + 3 + -14

Combine like terms: 8x + 2x = 10x
-14 + 10x = 7x + 3 + -14

Reorder the terms:
-14 + 10x = 3 + -14 + 7x

Combine like terms: 3 + -14 = -11
-14 + 10x = -11 + 7x

Solving
-14 + 10x = -11 + 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.
-14 + 10x + -7x = -11 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-14 + 3x = -11 + 7x + -7x

Combine like terms: 7x + -7x = 0
-14 + 3x = -11 + 0
-14 + 3x = -11

Add '14' to each side of the equation.
-14 + 14 + 3x = -11 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = -11 + 14
3x = -11 + 14

Combine like terms: -11 + 14 = 3
3x = 3

Divide each side by '3'.
x = 1

Simplifying
x = 1

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