2(4x-3)+7=3x+8

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Solution for 2(4x-3)+7=3x+8 equation:


Simplifying
2(4x + -3) + 7 = 3x + 8

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

Reorder the terms:
-6 + 7 + 8x = 3x + 8

Combine like terms: -6 + 7 = 1
1 + 8x = 3x + 8

Reorder the terms:
1 + 8x = 8 + 3x

Solving
1 + 8x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
1 + 8x + -3x = 8 + 3x + -3x

Combine like terms: 8x + -3x = 5x
1 + 5x = 8 + 3x + -3x

Combine like terms: 3x + -3x = 0
1 + 5x = 8 + 0
1 + 5x = 8

Add '-1' to each side of the equation.
1 + -1 + 5x = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 8 + -1
5x = 8 + -1

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

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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