10(2x+7-3x)=6(x+9)

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Solution for 10(2x+7-3x)=6(x+9) equation:


Simplifying
10(2x + 7 + -3x) = 6(x + 9)

Reorder the terms:
10(7 + 2x + -3x) = 6(x + 9)

Combine like terms: 2x + -3x = -1x
10(7 + -1x) = 6(x + 9)
(7 * 10 + -1x * 10) = 6(x + 9)
(70 + -10x) = 6(x + 9)

Reorder the terms:
70 + -10x = 6(9 + x)
70 + -10x = (9 * 6 + x * 6)
70 + -10x = (54 + 6x)

Solving
70 + -10x = 54 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
70 + -10x + -6x = 54 + 6x + -6x

Combine like terms: -10x + -6x = -16x
70 + -16x = 54 + 6x + -6x

Combine like terms: 6x + -6x = 0
70 + -16x = 54 + 0
70 + -16x = 54

Add '-70' to each side of the equation.
70 + -70 + -16x = 54 + -70

Combine like terms: 70 + -70 = 0
0 + -16x = 54 + -70
-16x = 54 + -70

Combine like terms: 54 + -70 = -16
-16x = -16

Divide each side by '-16'.
x = 1

Simplifying
x = 1

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