Question

solve the equation: ¾x+4x=⅞+6x-6​

Answer 1

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Here is Your Answer

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》 3/4x + 4x = 7/8 + 6x – 6

》Let us rearrange the equation

》 3/4x + 4x – 6x = 7/8 – 6

》By taking 4 and 8 as LCM

》(3x + 16x – 24x)/4

》 = (7 – 48)/8 -5x/4 = -41/8

》 By cross-multiplying

》-5x(8) = -41(4) -40x = -164 x = -164/-40 = 82/20 = 41/10

》Let us verify the given equation now,

》3/4x + 4x = 7/8 + 6x – 6

》By substituting the value of ‘x’ we get,

》 (3/4)(41/10) + 4(41/10)

》= 7/8 + 6(41/10) – 6 123/40 + 164/10

》 = 7/8 + 246/10 – 6 (123 + 656)/40

》= (70 + 1968 – 480)/80 779/40

》 = 1558/80 779/40 =

》779/40

》 Hence, the given equation is verified.