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

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


Simplifying
4 + -1(6x + 7) = 3 + -1(7x + 2)

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

Combine like terms: 4 + -7 = -3
-3 + -6x = 3 + -1(7x + 2)

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

Combine like terms: 3 + -2 = 1
-3 + -6x = 1 + -7x

Solving
-3 + -6x = 1 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-3 + -6x + 7x = 1 + -7x + 7x

Combine like terms: -6x + 7x = 1x
-3 + 1x = 1 + -7x + 7x

Combine like terms: -7x + 7x = 0
-3 + 1x = 1 + 0
-3 + 1x = 1

Add '3' to each side of the equation.
-3 + 3 + 1x = 1 + 3

Combine like terms: -3 + 3 = 0
0 + 1x = 1 + 3
1x = 1 + 3

Combine like terms: 1 + 3 = 4
1x = 4

Divide each side by '1'.
x = 4

Simplifying
x = 4

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