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

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


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

Reorder the terms:
4x + 7(5 + 3x) = 3x + 4(4x + 2)
4x + (5 * 7 + 3x * 7) = 3x + 4(4x + 2)
4x + (35 + 21x) = 3x + 4(4x + 2)

Reorder the terms:
35 + 4x + 21x = 3x + 4(4x + 2)

Combine like terms: 4x + 21x = 25x
35 + 25x = 3x + 4(4x + 2)

Reorder the terms:
35 + 25x = 3x + 4(2 + 4x)
35 + 25x = 3x + (2 * 4 + 4x * 4)
35 + 25x = 3x + (8 + 16x)

Reorder the terms:
35 + 25x = 8 + 3x + 16x

Combine like terms: 3x + 16x = 19x
35 + 25x = 8 + 19x

Solving
35 + 25x = 8 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
35 + 25x + -19x = 8 + 19x + -19x

Combine like terms: 25x + -19x = 6x
35 + 6x = 8 + 19x + -19x

Combine like terms: 19x + -19x = 0
35 + 6x = 8 + 0
35 + 6x = 8

Add '-35' to each side of the equation.
35 + -35 + 6x = 8 + -35

Combine like terms: 35 + -35 = 0
0 + 6x = 8 + -35
6x = 8 + -35

Combine like terms: 8 + -35 = -27
6x = -27

Divide each side by '6'.
x = -4.5

Simplifying
x = -4.5

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