5+2(4x-3)=7(x+1)

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Solution for 5+2(4x-3)=7(x+1) equation:


Simplifying
5 + 2(4x + -3) = 7(x + 1)

Reorder the terms:
5 + 2(-3 + 4x) = 7(x + 1)
5 + (-3 * 2 + 4x * 2) = 7(x + 1)
5 + (-6 + 8x) = 7(x + 1)

Combine like terms: 5 + -6 = -1
-1 + 8x = 7(x + 1)

Reorder the terms:
-1 + 8x = 7(1 + x)
-1 + 8x = (1 * 7 + x * 7)
-1 + 8x = (7 + 7x)

Solving
-1 + 8x = 7 + 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.
-1 + 8x + -7x = 7 + 7x + -7x

Combine like terms: 8x + -7x = 1x
-1 + 1x = 7 + 7x + -7x

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

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

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

Combine like terms: 7 + 1 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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