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

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


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

Reorder the terms:
2(-3 + 7x) = (4x + 5) * 4
(-3 * 2 + 7x * 2) = (4x + 5) * 4
(-6 + 14x) = (4x + 5) * 4

Reorder the terms:
-6 + 14x = (5 + 4x) * 4

Reorder the terms for easier multiplication:
-6 + 14x = 4(5 + 4x)
-6 + 14x = (5 * 4 + 4x * 4)
-6 + 14x = (20 + 16x)

Solving
-6 + 14x = 20 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-6 + 14x + -16x = 20 + 16x + -16x

Combine like terms: 14x + -16x = -2x
-6 + -2x = 20 + 16x + -16x

Combine like terms: 16x + -16x = 0
-6 + -2x = 20 + 0
-6 + -2x = 20

Add '6' to each side of the equation.
-6 + 6 + -2x = 20 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 20 + 6
-2x = 20 + 6

Combine like terms: 20 + 6 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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