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

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


Simplifying
2(7x + -4) = 4x + -6(2 + -1x) + 7

Reorder the terms:
2(-4 + 7x) = 4x + -6(2 + -1x) + 7
(-4 * 2 + 7x * 2) = 4x + -6(2 + -1x) + 7
(-8 + 14x) = 4x + -6(2 + -1x) + 7
-8 + 14x = 4x + (2 * -6 + -1x * -6) + 7
-8 + 14x = 4x + (-12 + 6x) + 7

Reorder the terms:
-8 + 14x = -12 + 7 + 4x + 6x

Combine like terms: -12 + 7 = -5
-8 + 14x = -5 + 4x + 6x

Combine like terms: 4x + 6x = 10x
-8 + 14x = -5 + 10x

Solving
-8 + 14x = -5 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-8 + 14x + -10x = -5 + 10x + -10x

Combine like terms: 14x + -10x = 4x
-8 + 4x = -5 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + 4x = -5 + 0
-8 + 4x = -5

Add '8' to each side of the equation.
-8 + 8 + 4x = -5 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = -5 + 8
4x = -5 + 8

Combine like terms: -5 + 8 = 3
4x = 3

Divide each side by '4'.
x = 0.75

Simplifying
x = 0.75

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