7(2+3x)-4(2-x)=6(5x-2)

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Solution for 7(2+3x)-4(2-x)=6(5x-2) equation:


Simplifying
7(2 + 3x) + -4(2 + -1x) = 6(5x + -2)
(2 * 7 + 3x * 7) + -4(2 + -1x) = 6(5x + -2)
(14 + 21x) + -4(2 + -1x) = 6(5x + -2)
14 + 21x + (2 * -4 + -1x * -4) = 6(5x + -2)
14 + 21x + (-8 + 4x) = 6(5x + -2)

Reorder the terms:
14 + -8 + 21x + 4x = 6(5x + -2)

Combine like terms: 14 + -8 = 6
6 + 21x + 4x = 6(5x + -2)

Combine like terms: 21x + 4x = 25x
6 + 25x = 6(5x + -2)

Reorder the terms:
6 + 25x = 6(-2 + 5x)
6 + 25x = (-2 * 6 + 5x * 6)
6 + 25x = (-12 + 30x)

Solving
6 + 25x = -12 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
6 + 25x + -30x = -12 + 30x + -30x

Combine like terms: 25x + -30x = -5x
6 + -5x = -12 + 30x + -30x

Combine like terms: 30x + -30x = 0
6 + -5x = -12 + 0
6 + -5x = -12

Add '-6' to each side of the equation.
6 + -6 + -5x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = -12 + -6
-5x = -12 + -6

Combine like terms: -12 + -6 = -18
-5x = -18

Divide each side by '-5'.
x = 3.6

Simplifying
x = 3.6

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