2(x-3)=4-7(2x-1)

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Solution for 2(x-3)=4-7(2x-1) equation:


Simplifying
2(x + -3) = 4 + -7(2x + -1)

Reorder the terms:
2(-3 + x) = 4 + -7(2x + -1)
(-3 * 2 + x * 2) = 4 + -7(2x + -1)
(-6 + 2x) = 4 + -7(2x + -1)

Reorder the terms:
-6 + 2x = 4 + -7(-1 + 2x)
-6 + 2x = 4 + (-1 * -7 + 2x * -7)
-6 + 2x = 4 + (7 + -14x)

Combine like terms: 4 + 7 = 11
-6 + 2x = 11 + -14x

Solving
-6 + 2x = 11 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
-6 + 2x + 14x = 11 + -14x + 14x

Combine like terms: 2x + 14x = 16x
-6 + 16x = 11 + -14x + 14x

Combine like terms: -14x + 14x = 0
-6 + 16x = 11 + 0
-6 + 16x = 11

Add '6' to each side of the equation.
-6 + 6 + 16x = 11 + 6

Combine like terms: -6 + 6 = 0
0 + 16x = 11 + 6
16x = 11 + 6

Combine like terms: 11 + 6 = 17
16x = 17

Divide each side by '16'.
x = 1.0625

Simplifying
x = 1.0625

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