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

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


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

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

Combine like terms: 7 + 15 = 22
22 + -6x = 4x + -6

Reorder the terms:
22 + -6x = -6 + 4x

Solving
22 + -6x = -6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
22 + -6x + -4x = -6 + 4x + -4x

Combine like terms: -6x + -4x = -10x
22 + -10x = -6 + 4x + -4x

Combine like terms: 4x + -4x = 0
22 + -10x = -6 + 0
22 + -10x = -6

Add '-22' to each side of the equation.
22 + -22 + -10x = -6 + -22

Combine like terms: 22 + -22 = 0
0 + -10x = -6 + -22
-10x = -6 + -22

Combine like terms: -6 + -22 = -28
-10x = -28

Divide each side by '-10'.
x = 2.8

Simplifying
x = 2.8

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