-7(x-5)=6x+3

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Solution for -7(x-5)=6x+3 equation:


Simplifying
-7(x + -5) = 6x + 3

Reorder the terms:
-7(-5 + x) = 6x + 3
(-5 * -7 + x * -7) = 6x + 3
(35 + -7x) = 6x + 3

Reorder the terms:
35 + -7x = 3 + 6x

Solving
35 + -7x = 3 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
35 + -7x + -6x = 3 + 6x + -6x

Combine like terms: -7x + -6x = -13x
35 + -13x = 3 + 6x + -6x

Combine like terms: 6x + -6x = 0
35 + -13x = 3 + 0
35 + -13x = 3

Add '-35' to each side of the equation.
35 + -35 + -13x = 3 + -35

Combine like terms: 35 + -35 = 0
0 + -13x = 3 + -35
-13x = 3 + -35

Combine like terms: 3 + -35 = -32
-13x = -32

Divide each side by '-13'.
x = 2.461538462

Simplifying
x = 2.461538462

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