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

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


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

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

Reorder the terms:
-6 + 2x + 4(-7 + 2x) = 6
-6 + 2x + (-7 * 4 + 2x * 4) = 6
-6 + 2x + (-28 + 8x) = 6

Reorder the terms:
-6 + -28 + 2x + 8x = 6

Combine like terms: -6 + -28 = -34
-34 + 2x + 8x = 6

Combine like terms: 2x + 8x = 10x
-34 + 10x = 6

Solving
-34 + 10x = 6

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 10x = 6 + 34

Combine like terms: -34 + 34 = 0
0 + 10x = 6 + 34
10x = 6 + 34

Combine like terms: 6 + 34 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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