6(5x-3)+4=2(3-x)+14

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Solution for 6(5x-3)+4=2(3-x)+14 equation:


Simplifying
6(5x + -3) + 4 = 2(3 + -1x) + 14

Reorder the terms:
6(-3 + 5x) + 4 = 2(3 + -1x) + 14
(-3 * 6 + 5x * 6) + 4 = 2(3 + -1x) + 14
(-18 + 30x) + 4 = 2(3 + -1x) + 14

Reorder the terms:
-18 + 4 + 30x = 2(3 + -1x) + 14

Combine like terms: -18 + 4 = -14
-14 + 30x = 2(3 + -1x) + 14
-14 + 30x = (3 * 2 + -1x * 2) + 14
-14 + 30x = (6 + -2x) + 14

Reorder the terms:
-14 + 30x = 6 + 14 + -2x

Combine like terms: 6 + 14 = 20
-14 + 30x = 20 + -2x

Solving
-14 + 30x = 20 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-14 + 30x + 2x = 20 + -2x + 2x

Combine like terms: 30x + 2x = 32x
-14 + 32x = 20 + -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + 32x = 20 + 0
-14 + 32x = 20

Add '14' to each side of the equation.
-14 + 14 + 32x = 20 + 14

Combine like terms: -14 + 14 = 0
0 + 32x = 20 + 14
32x = 20 + 14

Combine like terms: 20 + 14 = 34
32x = 34

Divide each side by '32'.
x = 1.0625

Simplifying
x = 1.0625

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