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

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


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

Reorder the terms:
3(7 + 2x) + -5(x + 4) = 4x + -7
(7 * 3 + 2x * 3) + -5(x + 4) = 4x + -7
(21 + 6x) + -5(x + 4) = 4x + -7

Reorder the terms:
21 + 6x + -5(4 + x) = 4x + -7
21 + 6x + (4 * -5 + x * -5) = 4x + -7
21 + 6x + (-20 + -5x) = 4x + -7

Reorder the terms:
21 + -20 + 6x + -5x = 4x + -7

Combine like terms: 21 + -20 = 1
1 + 6x + -5x = 4x + -7

Combine like terms: 6x + -5x = 1x
1 + 1x = 4x + -7

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

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

Combine like terms: 1x + -4x = -3x
1 + -3x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -3x = -7 + 0
1 + -3x = -7

Add '-1' to each side of the equation.
1 + -1 + -3x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -7 + -1
-3x = -7 + -1

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

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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