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

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


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

Reorder the terms:
4 + 7(-6 + 2x) = 7 + -4(x + 3)
4 + (-6 * 7 + 2x * 7) = 7 + -4(x + 3)
4 + (-42 + 14x) = 7 + -4(x + 3)

Combine like terms: 4 + -42 = -38
-38 + 14x = 7 + -4(x + 3)

Reorder the terms:
-38 + 14x = 7 + -4(3 + x)
-38 + 14x = 7 + (3 * -4 + x * -4)
-38 + 14x = 7 + (-12 + -4x)

Combine like terms: 7 + -12 = -5
-38 + 14x = -5 + -4x

Solving
-38 + 14x = -5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-38 + 14x + 4x = -5 + -4x + 4x

Combine like terms: 14x + 4x = 18x
-38 + 18x = -5 + -4x + 4x

Combine like terms: -4x + 4x = 0
-38 + 18x = -5 + 0
-38 + 18x = -5

Add '38' to each side of the equation.
-38 + 38 + 18x = -5 + 38

Combine like terms: -38 + 38 = 0
0 + 18x = -5 + 38
18x = -5 + 38

Combine like terms: -5 + 38 = 33
18x = 33

Divide each side by '18'.
x = 1.833333333

Simplifying
x = 1.833333333

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