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

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


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

Reorder the terms:
3(2 + x) + -5 = 7x + -8
(2 * 3 + x * 3) + -5 = 7x + -8
(6 + 3x) + -5 = 7x + -8

Reorder the terms:
6 + -5 + 3x = 7x + -8

Combine like terms: 6 + -5 = 1
1 + 3x = 7x + -8

Reorder the terms:
1 + 3x = -8 + 7x

Solving
1 + 3x = -8 + 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.
1 + 3x + -7x = -8 + 7x + -7x

Combine like terms: 3x + -7x = -4x
1 + -4x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -4x = -8 + 0
1 + -4x = -8

Add '-1' to each side of the equation.
1 + -1 + -4x = -8 + -1

Combine like terms: 1 + -1 = 0
0 + -4x = -8 + -1
-4x = -8 + -1

Combine like terms: -8 + -1 = -9
-4x = -9

Divide each side by '-4'.
x = 2.25

Simplifying
x = 2.25

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