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

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


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

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

Reorder the terms:
-15 + 6x + 6x = 4 + -7x

Combine like terms: 6x + 6x = 12x
-15 + 12x = 4 + -7x

Solving
-15 + 12x = 4 + -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.
-15 + 12x + 7x = 4 + -7x + 7x

Combine like terms: 12x + 7x = 19x
-15 + 19x = 4 + -7x + 7x

Combine like terms: -7x + 7x = 0
-15 + 19x = 4 + 0
-15 + 19x = 4

Add '15' to each side of the equation.
-15 + 15 + 19x = 4 + 15

Combine like terms: -15 + 15 = 0
0 + 19x = 4 + 15
19x = 4 + 15

Combine like terms: 4 + 15 = 19
19x = 19

Divide each side by '19'.
x = 1

Simplifying
x = 1

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