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

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


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

Reorder the terms:
4x + 2(-5 + 3x) = 6x + 7
4x + (-5 * 2 + 3x * 2) = 6x + 7
4x + (-10 + 6x) = 6x + 7

Reorder the terms:
-10 + 4x + 6x = 6x + 7

Combine like terms: 4x + 6x = 10x
-10 + 10x = 6x + 7

Reorder the terms:
-10 + 10x = 7 + 6x

Solving
-10 + 10x = 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.
-10 + 10x + -6x = 7 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-10 + 4x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-10 + 4x = 7 + 0
-10 + 4x = 7

Add '10' to each side of the equation.
-10 + 10 + 4x = 7 + 10

Combine like terms: -10 + 10 = 0
0 + 4x = 7 + 10
4x = 7 + 10

Combine like terms: 7 + 10 = 17
4x = 17

Divide each side by '4'.
x = 4.25

Simplifying
x = 4.25

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