4-3(2x-5)=6x-7

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Solution for 4-3(2x-5)=6x-7 equation:


Simplifying
4 + -3(2x + -5) = 6x + -7

Reorder the terms:
4 + -3(-5 + 2x) = 6x + -7
4 + (-5 * -3 + 2x * -3) = 6x + -7
4 + (15 + -6x) = 6x + -7

Combine like terms: 4 + 15 = 19
19 + -6x = 6x + -7

Reorder the terms:
19 + -6x = -7 + 6x

Solving
19 + -6x = -7 + 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.
19 + -6x + -6x = -7 + 6x + -6x

Combine like terms: -6x + -6x = -12x
19 + -12x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
19 + -12x = -7 + 0
19 + -12x = -7

Add '-19' to each side of the equation.
19 + -19 + -12x = -7 + -19

Combine like terms: 19 + -19 = 0
0 + -12x = -7 + -19
-12x = -7 + -19

Combine like terms: -7 + -19 = -26
-12x = -26

Divide each side by '-12'.
x = 2.166666667

Simplifying
x = 2.166666667

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