4(2x)+1=2(2x)+7

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


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

Remove parenthesis around (2x)
4 * 2x + 1 = 2(2x) + 7

Multiply 4 * 2
8x + 1 = 2(2x) + 7

Reorder the terms:
1 + 8x = 2(2x) + 7

Remove parenthesis around (2x)
1 + 8x = 2 * 2x + 7

Multiply 2 * 2
1 + 8x = 4x + 7

Reorder the terms:
1 + 8x = 7 + 4x

Solving
1 + 8x = 7 + 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.
1 + 8x + -4x = 7 + 4x + -4x

Combine like terms: 8x + -4x = 4x
1 + 4x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + 4x = 7 + 0
1 + 4x = 7

Add '-1' to each side of the equation.
1 + -1 + 4x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 7 + -1
4x = 7 + -1

Combine like terms: 7 + -1 = 6
4x = 6

Divide each side by '4'.
x = 1.5

Simplifying
x = 1.5

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