5-2(3x+1)=7x-8

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Solution for 5-2(3x+1)=7x-8 equation:


Simplifying
5 + -2(3x + 1) = 7x + -8

Reorder the terms:
5 + -2(1 + 3x) = 7x + -8
5 + (1 * -2 + 3x * -2) = 7x + -8
5 + (-2 + -6x) = 7x + -8

Combine like terms: 5 + -2 = 3
3 + -6x = 7x + -8

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

Solving
3 + -6x = -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.
3 + -6x + -7x = -8 + 7x + -7x

Combine like terms: -6x + -7x = -13x
3 + -13x = -8 + 7x + -7x

Combine like terms: 7x + -7x = 0
3 + -13x = -8 + 0
3 + -13x = -8

Add '-3' to each side of the equation.
3 + -3 + -13x = -8 + -3

Combine like terms: 3 + -3 = 0
0 + -13x = -8 + -3
-13x = -8 + -3

Combine like terms: -8 + -3 = -11
-13x = -11

Divide each side by '-13'.
x = 0.8461538462

Simplifying
x = 0.8461538462

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