2(4x-1)+3=7x+10

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Solution for 2(4x-1)+3=7x+10 equation:


Simplifying
2(4x + -1) + 3 = 7x + 10

Reorder the terms:
2(-1 + 4x) + 3 = 7x + 10
(-1 * 2 + 4x * 2) + 3 = 7x + 10
(-2 + 8x) + 3 = 7x + 10

Reorder the terms:
-2 + 3 + 8x = 7x + 10

Combine like terms: -2 + 3 = 1
1 + 8x = 7x + 10

Reorder the terms:
1 + 8x = 10 + 7x

Solving
1 + 8x = 10 + 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 = 10 + 7x + -7x

Combine like terms: 8x + -7x = 1x
1 + 1x = 10 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + 1x = 10 + 0
1 + 1x = 10

Add '-1' to each side of the equation.
1 + -1 + 1x = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 10 + -1
1x = 10 + -1

Combine like terms: 10 + -1 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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